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Finding the Third Proportional to 176,586.75 and 386,182.13

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Solution

The third proportional to 176,586.75 and 386,182.13 is: 844,551.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,586.75 : 386,182.13 = 386,182.13 : x
  2. Step 2: Convert to fraction form
    176,586.75/386,182.13 = 386,182.13/x
  3. Step 3: Cross multiply
    176,586.75x = 386,182.13 × 386,182.13
  4. Step 4: Simplify right side
    176,586.75x = 149,136,633,669.52
  5. Step 5: Solve for x
    x = 149,136,633,669.52/176,586.75
  6. Step 6: Final answer
    x = 844,551.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.