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Finding the Third Proportional to 178,060.88 and 275,340.94

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Solution

The third proportional to 178,060.88 and 275,340.94 is: 425,768.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,060.88 : 275,340.94 = 275,340.94 : x
  2. Step 2: Convert to fraction form
    178,060.88/275,340.94 = 275,340.94/x
  3. Step 3: Cross multiply
    178,060.88x = 275,340.94 × 275,340.94
  4. Step 4: Simplify right side
    178,060.88x = 75,812,631,863.38
  5. Step 5: Solve for x
    x = 75,812,631,863.38/178,060.88
  6. Step 6: Final answer
    x = 425,768.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.