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Finding the Third Proportional to 130,281.88 and 285,502.75

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Solution

The third proportional to 130,281.88 and 285,502.75 is: 625,657.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,281.88 : 285,502.75 = 285,502.75 : x
  2. Step 2: Convert to fraction form
    130,281.88/285,502.75 = 285,502.75/x
  3. Step 3: Cross multiply
    130,281.88x = 285,502.75 × 285,502.75
  4. Step 4: Simplify right side
    130,281.88x = 81,511,820,257.56
  5. Step 5: Solve for x
    x = 81,511,820,257.56/130,281.88
  6. Step 6: Final answer
    x = 625,657.41

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