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Finding the Third Proportional to 182,382.19 and 291,359.25

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Solution

The third proportional to 182,382.19 and 291,359.25 is: 465,452.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,382.19 : 291,359.25 = 291,359.25 : x
  2. Step 2: Convert to fraction form
    182,382.19/291,359.25 = 291,359.25/x
  3. Step 3: Cross multiply
    182,382.19x = 291,359.25 × 291,359.25
  4. Step 4: Simplify right side
    182,382.19x = 84,890,212,560.56
  5. Step 5: Solve for x
    x = 84,890,212,560.56/182,382.19
  6. Step 6: Final answer
    x = 465,452.32

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.