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Finding the Third Proportional to 153,232 and 329,792

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Solution

The third proportional to 153,232 and 329,792 is: 709,791.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,232 : 329,792 = 329,792 : x
  2. Step 2: Convert to fraction form
    153,232/329,792 = 329,792/x
  3. Step 3: Cross multiply
    153,232x = 329,792 × 329,792
  4. Step 4: Simplify right side
    153,232x = 108,762,763,264
  5. Step 5: Solve for x
    x = 108,762,763,264/153,232
  6. Step 6: Final answer
    x = 709,791.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.