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Finding the Third Proportional to 140,899 and 286,718.50

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Solution

The third proportional to 140,899 and 286,718.50 is: 583,449.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,899 : 286,718.50 = 286,718.50 : x
  2. Step 2: Convert to fraction form
    140,899/286,718.50 = 286,718.50/x
  3. Step 3: Cross multiply
    140,899x = 286,718.50 × 286,718.50
  4. Step 4: Simplify right side
    140,899x = 82,207,498,242.25
  5. Step 5: Solve for x
    x = 82,207,498,242.25/140,899
  6. Step 6: Final answer
    x = 583,449.83

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.