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Finding the Third Proportional to 147,211.31 and 233,488.69

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Solution

The third proportional to 147,211.31 and 233,488.69 is: 370,331.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,211.31 : 233,488.69 = 233,488.69 : x
  2. Step 2: Convert to fraction form
    147,211.31/233,488.69 = 233,488.69/x
  3. Step 3: Cross multiply
    147,211.31x = 233,488.69 × 233,488.69
  4. Step 4: Simplify right side
    147,211.31x = 54,516,967,190.47
  5. Step 5: Solve for x
    x = 54,516,967,190.47/147,211.31
  6. Step 6: Final answer
    x = 370,331.37

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.