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Finding the Third Proportional to 231,987.38 and 348,597

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Solution

The third proportional to 231,987.38 and 348,597 is: 523,821.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,987.38 : 348,597 = 348,597 : x
  2. Step 2: Convert to fraction form
    231,987.38/348,597 = 348,597/x
  3. Step 3: Cross multiply
    231,987.38x = 348,597 × 348,597
  4. Step 4: Simplify right side
    231,987.38x = 121,519,868,409
  5. Step 5: Solve for x
    x = 121,519,868,409/231,987.38
  6. Step 6: Final answer
    x = 523,821.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.