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Finding the Third Proportional to 138,130.31 and 300,856.78

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Solution

The third proportional to 138,130.31 and 300,856.78 is: 655,285.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,130.31 : 300,856.78 = 300,856.78 : x
  2. Step 2: Convert to fraction form
    138,130.31/300,856.78 = 300,856.78/x
  3. Step 3: Cross multiply
    138,130.31x = 300,856.78 × 300,856.78
  4. Step 4: Simplify right side
    138,130.31x = 90,514,802,824.11
  5. Step 5: Solve for x
    x = 90,514,802,824.11/138,130.31
  6. Step 6: Final answer
    x = 655,285.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.