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Finding the Third Proportional to 153,624 and 237,792

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Solution

The third proportional to 153,624 and 237,792 is: 368,074.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,624 : 237,792 = 237,792 : x
  2. Step 2: Convert to fraction form
    153,624/237,792 = 237,792/x
  3. Step 3: Cross multiply
    153,624x = 237,792 × 237,792
  4. Step 4: Simplify right side
    153,624x = 56,545,035,264
  5. Step 5: Solve for x
    x = 56,545,035,264/153,624
  6. Step 6: Final answer
    x = 368,074.23

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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.