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Finding the Third Proportional to 156,432 and 242,334

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Solution

The third proportional to 156,432 and 242,334 is: 375,407.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,432 : 242,334 = 242,334 : x
  2. Step 2: Convert to fraction form
    156,432/242,334 = 242,334/x
  3. Step 3: Cross multiply
    156,432x = 242,334 × 242,334
  4. Step 4: Simplify right side
    156,432x = 58,725,767,556
  5. Step 5: Solve for x
    x = 58,725,767,556/156,432
  6. Step 6: Final answer
    x = 375,407.64

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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.