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Finding the Third Proportional to 113,342 and 247,034

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Solution

The third proportional to 113,342 and 247,034 is: 538,421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,342 : 247,034 = 247,034 : x
  2. Step 2: Convert to fraction form
    113,342/247,034 = 247,034/x
  3. Step 3: Cross multiply
    113,342x = 247,034 × 247,034
  4. Step 4: Simplify right side
    113,342x = 61,025,797,156
  5. Step 5: Solve for x
    x = 61,025,797,156/113,342
  6. Step 6: Final answer
    x = 538,421.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.