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Finding the Third Proportional to 140,659.98 and 307,999.65

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Solution

The third proportional to 140,659.98 and 307,999.65 is: 674,419.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,659.98 : 307,999.65 = 307,999.65 : x
  2. Step 2: Convert to fraction form
    140,659.98/307,999.65 = 307,999.65/x
  3. Step 3: Cross multiply
    140,659.98x = 307,999.65 × 307,999.65
  4. Step 4: Simplify right side
    140,659.98x = 94,863,785,843.88
  5. Step 5: Solve for x
    x = 94,863,785,843.88/140,659.98
  6. Step 6: Final answer
    x = 674,419.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.