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Finding the Third Proportional to 113,769 and 247,603

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Solution

The third proportional to 113,769 and 247,603 is: 538,874.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,769 : 247,603 = 247,603 : x
  2. Step 2: Convert to fraction form
    113,769/247,603 = 247,603/x
  3. Step 3: Cross multiply
    113,769x = 247,603 × 247,603
  4. Step 4: Simplify right side
    113,769x = 61,307,245,609
  5. Step 5: Solve for x
    x = 61,307,245,609/113,769
  6. Step 6: Final answer
    x = 538,874.79

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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.