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Finding the Third Proportional to 113,648 and 239,080

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Solution

The third proportional to 113,648 and 239,080 is: 502,949.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,648 : 239,080 = 239,080 : x
  2. Step 2: Convert to fraction form
    113,648/239,080 = 239,080/x
  3. Step 3: Cross multiply
    113,648x = 239,080 × 239,080
  4. Step 4: Simplify right side
    113,648x = 57,159,246,400
  5. Step 5: Solve for x
    x = 57,159,246,400/113,648
  6. Step 6: Final answer
    x = 502,949.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.