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Finding the Third Proportional to 176,220.38 and 264,384.56

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Solution

The third proportional to 176,220.38 and 264,384.56 is: 396,657.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,220.38 : 264,384.56 = 264,384.56 : x
  2. Step 2: Convert to fraction form
    176,220.38/264,384.56 = 264,384.56/x
  3. Step 3: Cross multiply
    176,220.38x = 264,384.56 × 264,384.56
  4. Step 4: Simplify right side
    176,220.38x = 69,899,196,888.32
  5. Step 5: Solve for x
    x = 69,899,196,888.32/176,220.38
  6. Step 6: Final answer
    x = 396,657.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.