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Finding the Third Proportional to 176,862 and 364,092

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Solution

The third proportional to 176,862 and 364,092 is: 749,527.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,862 : 364,092 = 364,092 : x
  2. Step 2: Convert to fraction form
    176,862/364,092 = 364,092/x
  3. Step 3: Cross multiply
    176,862x = 364,092 × 364,092
  4. Step 4: Simplify right side
    176,862x = 132,562,984,464
  5. Step 5: Solve for x
    x = 132,562,984,464/176,862
  6. Step 6: Final answer
    x = 749,527.79

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.