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Finding the Third Proportional to 157,378 and 222,531

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Solution

The third proportional to 157,378 and 222,531 is: 314,656.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,378 : 222,531 = 222,531 : x
  2. Step 2: Convert to fraction form
    157,378/222,531 = 222,531/x
  3. Step 3: Cross multiply
    157,378x = 222,531 × 222,531
  4. Step 4: Simplify right side
    157,378x = 49,520,045,961
  5. Step 5: Solve for x
    x = 49,520,045,961/157,378
  6. Step 6: Final answer
    x = 314,656.72

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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.