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Finding the Third Proportional to 230,020 and 316,744

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Solution

The third proportional to 230,020 and 316,744 is: 436,165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,020 : 316,744 = 316,744 : x
  2. Step 2: Convert to fraction form
    230,020/316,744 = 316,744/x
  3. Step 3: Cross multiply
    230,020x = 316,744 × 316,744
  4. Step 4: Simplify right side
    230,020x = 100,326,761,536
  5. Step 5: Solve for x
    x = 100,326,761,536/230,020
  6. Step 6: Final answer
    x = 436,165.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.