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Finding the Third Proportional to 109,747 and 240,432

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Solution

The third proportional to 109,747 and 240,432 is: 526,734.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,747 : 240,432 = 240,432 : x
  2. Step 2: Convert to fraction form
    109,747/240,432 = 240,432/x
  3. Step 3: Cross multiply
    109,747x = 240,432 × 240,432
  4. Step 4: Simplify right side
    109,747x = 57,807,546,624
  5. Step 5: Solve for x
    x = 57,807,546,624/109,747
  6. Step 6: Final answer
    x = 526,734.64

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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.