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Finding the Third Proportional to 140,866.13 and 313,227.75

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Solution

The third proportional to 140,866.13 and 313,227.75 is: 696,488.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,866.13 : 313,227.75 = 313,227.75 : x
  2. Step 2: Convert to fraction form
    140,866.13/313,227.75 = 313,227.75/x
  3. Step 3: Cross multiply
    140,866.13x = 313,227.75 × 313,227.75
  4. Step 4: Simplify right side
    140,866.13x = 98,111,623,370.06
  5. Step 5: Solve for x
    x = 98,111,623,370.06/140,866.13
  6. Step 6: Final answer
    x = 696,488.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.