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Finding the Third Proportional to 109,384 and 239,014

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Solution

The third proportional to 109,384 and 239,014 is: 522,267.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,384 : 239,014 = 239,014 : x
  2. Step 2: Convert to fraction form
    109,384/239,014 = 239,014/x
  3. Step 3: Cross multiply
    109,384x = 239,014 × 239,014
  4. Step 4: Simplify right side
    109,384x = 57,127,692,196
  5. Step 5: Solve for x
    x = 57,127,692,196/109,384
  6. Step 6: Final answer
    x = 522,267.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.