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Finding the Third Proportional to 182,195.89 and 291,080.30

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Solution

The third proportional to 182,195.89 and 291,080.30 is: 465,036.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,195.89 : 291,080.30 = 291,080.30 : x
  2. Step 2: Convert to fraction form
    182,195.89/291,080.30 = 291,080.30/x
  3. Step 3: Cross multiply
    182,195.89x = 291,080.30 × 291,080.30
  4. Step 4: Simplify right side
    182,195.89x = 84,727,742,639.94
  5. Step 5: Solve for x
    x = 84,727,742,639.94/182,195.89
  6. Step 6: Final answer
    x = 465,036.51

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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.