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Finding the Third Proportional to 153,327 and 232,758

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Solution

The third proportional to 153,327 and 232,758 is: 353,338.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,327 : 232,758 = 232,758 : x
  2. Step 2: Convert to fraction form
    153,327/232,758 = 232,758/x
  3. Step 3: Cross multiply
    153,327x = 232,758 × 232,758
  4. Step 4: Simplify right side
    153,327x = 54,176,286,564
  5. Step 5: Solve for x
    x = 54,176,286,564/153,327
  6. Step 6: Final answer
    x = 353,338.20

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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.