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Finding the Third Proportional to 109,948 and 239,644

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Solution

The third proportional to 109,948 and 239,644 is: 522,330.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,948 : 239,644 = 239,644 : x
  2. Step 2: Convert to fraction form
    109,948/239,644 = 239,644/x
  3. Step 3: Cross multiply
    109,948x = 239,644 × 239,644
  4. Step 4: Simplify right side
    109,948x = 57,429,246,736
  5. Step 5: Solve for x
    x = 57,429,246,736/109,948
  6. Step 6: Final answer
    x = 522,330.98

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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.