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Finding the Third Proportional to 156,324 and 242,418

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Solution

The third proportional to 156,324 and 242,418 is: 375,927.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,324 : 242,418 = 242,418 : x
  2. Step 2: Convert to fraction form
    156,324/242,418 = 242,418/x
  3. Step 3: Cross multiply
    156,324x = 242,418 × 242,418
  4. Step 4: Simplify right side
    156,324x = 58,766,486,724
  5. Step 5: Solve for x
    x = 58,766,486,724/156,324
  6. Step 6: Final answer
    x = 375,927.48

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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.