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Finding the Third Proportional to 176,766.75 and 381,772.13

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Solution

The third proportional to 176,766.75 and 381,772.13 is: 824,532.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,766.75 : 381,772.13 = 381,772.13 : x
  2. Step 2: Convert to fraction form
    176,766.75/381,772.13 = 381,772.13/x
  3. Step 3: Cross multiply
    176,766.75x = 381,772.13 × 381,772.13
  4. Step 4: Simplify right side
    176,766.75x = 145,749,955,427.02
  5. Step 5: Solve for x
    x = 145,749,955,427.02/176,766.75
  6. Step 6: Final answer
    x = 824,532.64

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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.