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Finding the Third Proportional to 112,853 and 252,442

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Solution

The third proportional to 112,853 and 252,442 is: 564,690.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,853 : 252,442 = 252,442 : x
  2. Step 2: Convert to fraction form
    112,853/252,442 = 252,442/x
  3. Step 3: Cross multiply
    112,853x = 252,442 × 252,442
  4. Step 4: Simplify right side
    112,853x = 63,726,963,364
  5. Step 5: Solve for x
    x = 63,726,963,364/112,853
  6. Step 6: Final answer
    x = 564,690.02

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.