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Finding the Third Proportional to 140,986.13 and 304,446.19

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Solution

The third proportional to 140,986.13 and 304,446.19 is: 657,422.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,986.13 : 304,446.19 = 304,446.19 : x
  2. Step 2: Convert to fraction form
    140,986.13/304,446.19 = 304,446.19/x
  3. Step 3: Cross multiply
    140,986.13x = 304,446.19 × 304,446.19
  4. Step 4: Simplify right side
    140,986.13x = 92,687,481,083.29
  5. Step 5: Solve for x
    x = 92,687,481,083.29/140,986.13
  6. Step 6: Final answer
    x = 657,422.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.