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Finding the Third Proportional to 182,743 and 291,610

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Solution

The third proportional to 182,743 and 291,610 is: 465,333.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,743 : 291,610 = 291,610 : x
  2. Step 2: Convert to fraction form
    182,743/291,610 = 291,610/x
  3. Step 3: Cross multiply
    182,743x = 291,610 × 291,610
  4. Step 4: Simplify right side
    182,743x = 85,036,392,100
  5. Step 5: Solve for x
    x = 85,036,392,100/182,743
  6. Step 6: Final answer
    x = 465,333.24

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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.