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Finding the Third Proportional to 182,749 and 291,620

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Solution

The third proportional to 182,749 and 291,620 is: 465,349.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,749 : 291,620 = 291,620 : x
  2. Step 2: Convert to fraction form
    182,749/291,620 = 291,620/x
  3. Step 3: Cross multiply
    182,749x = 291,620 × 291,620
  4. Step 4: Simplify right side
    182,749x = 85,042,224,400
  5. Step 5: Solve for x
    x = 85,042,224,400/182,749
  6. Step 6: Final answer
    x = 465,349.88

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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.