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Finding the Third Proportional to 112,320 and 243,432

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Solution

The third proportional to 112,320 and 243,432 is: 527,592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,320 : 243,432 = 243,432 : x
  2. Step 2: Convert to fraction form
    112,320/243,432 = 243,432/x
  3. Step 3: Cross multiply
    112,320x = 243,432 × 243,432
  4. Step 4: Simplify right side
    112,320x = 59,259,138,624
  5. Step 5: Solve for x
    x = 59,259,138,624/112,320
  6. Step 6: Final answer
    x = 527,592.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.