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Finding the Third Proportional to 112,320 and 241,566

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Solution

The third proportional to 112,320 and 241,566 is: 519,534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,320 : 241,566 = 241,566 : x
  2. Step 2: Convert to fraction form
    112,320/241,566 = 241,566/x
  3. Step 3: Cross multiply
    112,320x = 241,566 × 241,566
  4. Step 4: Simplify right side
    112,320x = 58,354,132,356
  5. Step 5: Solve for x
    x = 58,354,132,356/112,320
  6. Step 6: Final answer
    x = 519,534.65

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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.