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Finding the Third Proportional to 176,424 and 416,132

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Solution

The third proportional to 176,424 and 416,132 is: 981,532.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,424 : 416,132 = 416,132 : x
  2. Step 2: Convert to fraction form
    176,424/416,132 = 416,132/x
  3. Step 3: Cross multiply
    176,424x = 416,132 × 416,132
  4. Step 4: Simplify right side
    176,424x = 173,165,841,424
  5. Step 5: Solve for x
    x = 173,165,841,424/176,424
  6. Step 6: Final answer
    x = 981,532.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.