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Finding the Third Proportional to 177,155.88 and 377,962.75

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Solution

The third proportional to 177,155.88 and 377,962.75 is: 806,385.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,155.88 : 377,962.75 = 377,962.75 : x
  2. Step 2: Convert to fraction form
    177,155.88/377,962.75 = 377,962.75/x
  3. Step 3: Cross multiply
    177,155.88x = 377,962.75 × 377,962.75
  4. Step 4: Simplify right side
    177,155.88x = 142,855,840,387.56
  5. Step 5: Solve for x
    x = 142,855,840,387.56/177,155.88
  6. Step 6: Final answer
    x = 806,385.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.