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Finding the Third Proportional to 229,384 and 316,967

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Solution

The third proportional to 229,384 and 316,967 is: 437,990.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,384 : 316,967 = 316,967 : x
  2. Step 2: Convert to fraction form
    229,384/316,967 = 316,967/x
  3. Step 3: Cross multiply
    229,384x = 316,967 × 316,967
  4. Step 4: Simplify right side
    229,384x = 100,468,079,089
  5. Step 5: Solve for x
    x = 100,468,079,089/229,384
  6. Step 6: Final answer
    x = 437,990.79

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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.