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Finding the Third Proportional to 157,656 and 238,120.50

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Solution

The third proportional to 157,656 and 238,120.50 is: 359,652.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,656 : 238,120.50 = 238,120.50 : x
  2. Step 2: Convert to fraction form
    157,656/238,120.50 = 238,120.50/x
  3. Step 3: Cross multiply
    157,656x = 238,120.50 × 238,120.50
  4. Step 4: Simplify right side
    157,656x = 56,701,372,520.25
  5. Step 5: Solve for x
    x = 56,701,372,520.25/157,656
  6. Step 6: Final answer
    x = 359,652.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.