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Finding the Third Proportional to 130,335.75 and 285,589.13

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Solution

The third proportional to 130,335.75 and 285,589.13 is: 625,777.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,335.75 : 285,589.13 = 285,589.13 : x
  2. Step 2: Convert to fraction form
    130,335.75/285,589.13 = 285,589.13/x
  3. Step 3: Cross multiply
    130,335.75x = 285,589.13 × 285,589.13
  4. Step 4: Simplify right side
    130,335.75x = 81,561,148,318.27
  5. Step 5: Solve for x
    x = 81,561,148,318.27/130,335.75
  6. Step 6: Final answer
    x = 625,777.26

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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.