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Finding the Third Proportional to 176,832 and 260,028

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Solution

The third proportional to 176,832 and 260,028 is: 382,366.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,832 : 260,028 = 260,028 : x
  2. Step 2: Convert to fraction form
    176,832/260,028 = 260,028/x
  3. Step 3: Cross multiply
    176,832x = 260,028 × 260,028
  4. Step 4: Simplify right side
    176,832x = 67,614,560,784
  5. Step 5: Solve for x
    x = 67,614,560,784/176,832
  6. Step 6: Final answer
    x = 382,366.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.