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Finding the Third Proportional to 109,338 and 240,202

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Solution

The third proportional to 109,338 and 240,202 is: 527,693.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,338 : 240,202 = 240,202 : x
  2. Step 2: Convert to fraction form
    109,338/240,202 = 240,202/x
  3. Step 3: Cross multiply
    109,338x = 240,202 × 240,202
  4. Step 4: Simplify right side
    109,338x = 57,697,000,804
  5. Step 5: Solve for x
    x = 57,697,000,804/109,338
  6. Step 6: Final answer
    x = 527,693.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.