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Finding the Third Proportional to 153,002 and 232,743

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Solution

The third proportional to 153,002 and 232,743 is: 354,043.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,002 : 232,743 = 232,743 : x
  2. Step 2: Convert to fraction form
    153,002/232,743 = 232,743/x
  3. Step 3: Cross multiply
    153,002x = 232,743 × 232,743
  4. Step 4: Simplify right side
    153,002x = 54,169,304,049
  5. Step 5: Solve for x
    x = 54,169,304,049/153,002
  6. Step 6: Final answer
    x = 354,043.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.