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Finding the Third Proportional to 152,252 and 242,466

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Solution

The third proportional to 152,252 and 242,466 is: 386,134.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,252 : 242,466 = 242,466 : x
  2. Step 2: Convert to fraction form
    152,252/242,466 = 242,466/x
  3. Step 3: Cross multiply
    152,252x = 242,466 × 242,466
  4. Step 4: Simplify right side
    152,252x = 58,789,761,156
  5. Step 5: Solve for x
    x = 58,789,761,156/152,252
  6. Step 6: Final answer
    x = 386,134.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.