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Finding the Third Proportional to 156,440 and 242,344

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Solution

The third proportional to 156,440 and 242,344 is: 375,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,440 : 242,344 = 242,344 : x
  2. Step 2: Convert to fraction form
    156,440/242,344 = 242,344/x
  3. Step 3: Cross multiply
    156,440x = 242,344 × 242,344
  4. Step 4: Simplify right side
    156,440x = 58,730,614,336
  5. Step 5: Solve for x
    x = 58,730,614,336/156,440
  6. Step 6: Final answer
    x = 375,419.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.