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Finding the Third Proportional to 112,080 and 240,432

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Solution

The third proportional to 112,080 and 240,432 is: 515,770.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,080 : 240,432 = 240,432 : x
  2. Step 2: Convert to fraction form
    112,080/240,432 = 240,432/x
  3. Step 3: Cross multiply
    112,080x = 240,432 × 240,432
  4. Step 4: Simplify right side
    112,080x = 57,807,546,624
  5. Step 5: Solve for x
    x = 57,807,546,624/112,080
  6. Step 6: Final answer
    x = 515,770.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.