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Finding the Third Proportional to 157,209.61 and 222,236.79

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Solution

The third proportional to 157,209.61 and 222,236.79 is: 314,161.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,209.61 : 222,236.79 = 222,236.79 : x
  2. Step 2: Convert to fraction form
    157,209.61/222,236.79 = 222,236.79/x
  3. Step 3: Cross multiply
    157,209.61x = 222,236.79 × 222,236.79
  4. Step 4: Simplify right side
    157,209.61x = 49,389,190,412.81
  5. Step 5: Solve for x
    x = 49,389,190,412.81/157,209.61
  6. Step 6: Final answer
    x = 314,161.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.