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Finding the Third Proportional to 140,365.13 and 304,377.75

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Solution

The third proportional to 140,365.13 and 304,377.75 is: 660,034.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,365.13 : 304,377.75 = 304,377.75 : x
  2. Step 2: Convert to fraction form
    140,365.13/304,377.75 = 304,377.75/x
  3. Step 3: Cross multiply
    140,365.13x = 304,377.75 × 304,377.75
  4. Step 4: Simplify right side
    140,365.13x = 92,645,814,695.06
  5. Step 5: Solve for x
    x = 92,645,814,695.06/140,365.13
  6. Step 6: Final answer
    x = 660,034.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.