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Finding the Third Proportional to 157,542.75 and 242,154.56

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Solution

The third proportional to 157,542.75 and 242,154.56 is: 372,209.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,542.75 : 242,154.56 = 242,154.56 : x
  2. Step 2: Convert to fraction form
    157,542.75/242,154.56 = 242,154.56/x
  3. Step 3: Cross multiply
    157,542.75x = 242,154.56 × 242,154.56
  4. Step 4: Simplify right side
    157,542.75x = 58,638,832,139.57
  5. Step 5: Solve for x
    x = 58,638,832,139.57/157,542.75
  6. Step 6: Final answer
    x = 372,209.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.