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Finding the Third Proportional to 176,391 and 268,732.69

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Solution

The third proportional to 176,391 and 268,732.69 is: 409,415.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,391 : 268,732.69 = 268,732.69 : x
  2. Step 2: Convert to fraction form
    176,391/268,732.69 = 268,732.69/x
  3. Step 3: Cross multiply
    176,391x = 268,732.69 × 268,732.69
  4. Step 4: Simplify right side
    176,391x = 72,217,257,330.97
  5. Step 5: Solve for x
    x = 72,217,257,330.97/176,391
  6. Step 6: Final answer
    x = 409,415.77

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.