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Finding the Third Proportional to 109,476 and 240,318

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Solution

The third proportional to 109,476 and 240,318 is: 527,537.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,476 : 240,318 = 240,318 : x
  2. Step 2: Convert to fraction form
    109,476/240,318 = 240,318/x
  3. Step 3: Cross multiply
    109,476x = 240,318 × 240,318
  4. Step 4: Simplify right side
    109,476x = 57,752,741,124
  5. Step 5: Solve for x
    x = 57,752,741,124/109,476
  6. Step 6: Final answer
    x = 527,537.92

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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.