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Finding the Third Proportional to 112,428 and 240,794

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Solution

The third proportional to 112,428 and 240,794 is: 515,723.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,428 : 240,794 = 240,794 : x
  2. Step 2: Convert to fraction form
    112,428/240,794 = 240,794/x
  3. Step 3: Cross multiply
    112,428x = 240,794 × 240,794
  4. Step 4: Simplify right side
    112,428x = 57,981,750,436
  5. Step 5: Solve for x
    x = 57,981,750,436/112,428
  6. Step 6: Final answer
    x = 515,723.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.