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Finding the Third Proportional to 182,744 and 291,614

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Solution

The third proportional to 182,744 and 291,614 is: 465,343.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,744 : 291,614 = 291,614 : x
  2. Step 2: Convert to fraction form
    182,744/291,614 = 291,614/x
  3. Step 3: Cross multiply
    182,744x = 291,614 × 291,614
  4. Step 4: Simplify right side
    182,744x = 85,038,724,996
  5. Step 5: Solve for x
    x = 85,038,724,996/182,744
  6. Step 6: Final answer
    x = 465,343.46

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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.