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Finding the Third Proportional to 176,025 and 378,581

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Solution

The third proportional to 176,025 and 378,581 is: 814,222.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,025 : 378,581 = 378,581 : x
  2. Step 2: Convert to fraction form
    176,025/378,581 = 378,581/x
  3. Step 3: Cross multiply
    176,025x = 378,581 × 378,581
  4. Step 4: Simplify right side
    176,025x = 143,323,573,561
  5. Step 5: Solve for x
    x = 143,323,573,561/176,025
  6. Step 6: Final answer
    x = 814,222.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.