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Finding the Third Proportional to 182,209 and 394,370

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Solution

The third proportional to 182,209 and 394,370 is: 853,567.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,209 : 394,370 = 394,370 : x
  2. Step 2: Convert to fraction form
    182,209/394,370 = 394,370/x
  3. Step 3: Cross multiply
    182,209x = 394,370 × 394,370
  4. Step 4: Simplify right side
    182,209x = 155,527,696,900
  5. Step 5: Solve for x
    x = 155,527,696,900/182,209
  6. Step 6: Final answer
    x = 853,567.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.