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Finding the Third Proportional to 146,744 and 242,792

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Solution

The third proportional to 146,744 and 242,792 is: 401,706.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,744 : 242,792 = 242,792 : x
  2. Step 2: Convert to fraction form
    146,744/242,792 = 242,792/x
  3. Step 3: Cross multiply
    146,744x = 242,792 × 242,792
  4. Step 4: Simplify right side
    146,744x = 58,947,955,264
  5. Step 5: Solve for x
    x = 58,947,955,264/146,744
  6. Step 6: Final answer
    x = 401,706.07

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.