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Finding the Third Proportional to 107,386 and 233,226

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Solution

The third proportional to 107,386 and 233,226 is: 506,531.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,386 : 233,226 = 233,226 : x
  2. Step 2: Convert to fraction form
    107,386/233,226 = 233,226/x
  3. Step 3: Cross multiply
    107,386x = 233,226 × 233,226
  4. Step 4: Simplify right side
    107,386x = 54,394,367,076
  5. Step 5: Solve for x
    x = 54,394,367,076/107,386
  6. Step 6: Final answer
    x = 506,531.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.