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Finding the Third Proportional to 116,422.31 and 170,800.31

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Solution

The third proportional to 116,422.31 and 170,800.31 is: 250,576.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,422.31 : 170,800.31 = 170,800.31 : x
  2. Step 2: Convert to fraction form
    116,422.31/170,800.31 = 170,800.31/x
  3. Step 3: Cross multiply
    116,422.31x = 170,800.31 × 170,800.31
  4. Step 4: Simplify right side
    116,422.31x = 29,172,746,750.10
  5. Step 5: Solve for x
    x = 29,172,746,750.10/116,422.31
  6. Step 6: Final answer
    x = 250,576.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.