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Finding the Third Proportional to 175,800.75 and 378,979.50

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Solution

The third proportional to 175,800.75 and 378,979.50 is: 816,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,800.75 : 378,979.50 = 378,979.50 : x
  2. Step 2: Convert to fraction form
    175,800.75/378,979.50 = 378,979.50/x
  3. Step 3: Cross multiply
    175,800.75x = 378,979.50 × 378,979.50
  4. Step 4: Simplify right side
    175,800.75x = 143,625,461,420.25
  5. Step 5: Solve for x
    x = 143,625,461,420.25/175,800.75
  6. Step 6: Final answer
    x = 816,978.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.