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Finding the Third Proportional to 113,933 and 245,397

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Solution

The third proportional to 113,933 and 245,397 is: 528,553.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,933 : 245,397 = 245,397 : x
  2. Step 2: Convert to fraction form
    113,933/245,397 = 245,397/x
  3. Step 3: Cross multiply
    113,933x = 245,397 × 245,397
  4. Step 4: Simplify right side
    113,933x = 60,219,687,609
  5. Step 5: Solve for x
    x = 60,219,687,609/113,933
  6. Step 6: Final answer
    x = 528,553.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.