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Finding the Third Proportional to 157,542 and 242,153.44

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Solution

The third proportional to 157,542 and 242,153.44 is: 372,207.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,542 : 242,153.44 = 242,153.44 : x
  2. Step 2: Convert to fraction form
    157,542/242,153.44 = 242,153.44/x
  3. Step 3: Cross multiply
    157,542x = 242,153.44 × 242,153.44
  4. Step 4: Simplify right side
    157,542x = 58,638,287,293.07
  5. Step 5: Solve for x
    x = 58,638,287,293.07/157,542
  6. Step 6: Final answer
    x = 372,207.33

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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.