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Finding the Third Proportional to 174,098 and 363,332

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Solution

The third proportional to 174,098 and 363,332 is: 758,251.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,098 : 363,332 = 363,332 : x
  2. Step 2: Convert to fraction form
    174,098/363,332 = 363,332/x
  3. Step 3: Cross multiply
    174,098x = 363,332 × 363,332
  4. Step 4: Simplify right side
    174,098x = 132,010,142,224
  5. Step 5: Solve for x
    x = 132,010,142,224/174,098
  6. Step 6: Final answer
    x = 758,251.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.