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Finding the Third Proportional to 179,280.84 and 385,200.56

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Solution

The third proportional to 179,280.84 and 385,200.56 is: 827,637.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,280.84 : 385,200.56 = 385,200.56 : x
  2. Step 2: Convert to fraction form
    179,280.84/385,200.56 = 385,200.56/x
  3. Step 3: Cross multiply
    179,280.84x = 385,200.56 × 385,200.56
  4. Step 4: Simplify right side
    179,280.84x = 148,379,473,350.32
  5. Step 5: Solve for x
    x = 148,379,473,350.32/179,280.84
  6. Step 6: Final answer
    x = 827,637.08

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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.