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Finding the Third Proportional to 166,309.31 and 344,431.13

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Solution

The third proportional to 166,309.31 and 344,431.13 is: 713,326.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,309.31 : 344,431.13 = 344,431.13 : x
  2. Step 2: Convert to fraction form
    166,309.31/344,431.13 = 344,431.13/x
  3. Step 3: Cross multiply
    166,309.31x = 344,431.13 × 344,431.13
  4. Step 4: Simplify right side
    166,309.31x = 118,632,799,868.77
  5. Step 5: Solve for x
    x = 118,632,799,868.77/166,309.31
  6. Step 6: Final answer
    x = 713,326.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.