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Finding the Third Proportional to 107,342 and 233,126

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Solution

The third proportional to 107,342 and 233,126 is: 506,304.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,342 : 233,126 = 233,126 : x
  2. Step 2: Convert to fraction form
    107,342/233,126 = 233,126/x
  3. Step 3: Cross multiply
    107,342x = 233,126 × 233,126
  4. Step 4: Simplify right side
    107,342x = 54,347,731,876
  5. Step 5: Solve for x
    x = 54,347,731,876/107,342
  6. Step 6: Final answer
    x = 506,304.45

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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.