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Finding the Third Proportional to 204,363 and 258,562.13

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Solution

The third proportional to 204,363 and 258,562.13 is: 327,135.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,363 : 258,562.13 = 258,562.13 : x
  2. Step 2: Convert to fraction form
    204,363/258,562.13 = 258,562.13/x
  3. Step 3: Cross multiply
    204,363x = 258,562.13 × 258,562.13
  4. Step 4: Simplify right side
    204,363x = 66,854,372,484.52
  5. Step 5: Solve for x
    x = 66,854,372,484.52/204,363
  6. Step 6: Final answer
    x = 327,135.40

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.