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Finding the Third Proportional to 107,880 and 235,432

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Solution

The third proportional to 107,880 and 235,432 is: 513,795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,880 : 235,432 = 235,432 : x
  2. Step 2: Convert to fraction form
    107,880/235,432 = 235,432/x
  3. Step 3: Cross multiply
    107,880x = 235,432 × 235,432
  4. Step 4: Simplify right side
    107,880x = 55,428,226,624
  5. Step 5: Solve for x
    x = 55,428,226,624/107,880
  6. Step 6: Final answer
    x = 513,795.20

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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.