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Finding the Third Proportional to 168,340.25 and 363,387.50

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Solution

The third proportional to 168,340.25 and 363,387.50 is: 784,426.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,340.25 : 363,387.50 = 363,387.50 : x
  2. Step 2: Convert to fraction form
    168,340.25/363,387.50 = 363,387.50/x
  3. Step 3: Cross multiply
    168,340.25x = 363,387.50 × 363,387.50
  4. Step 4: Simplify right side
    168,340.25x = 132,050,475,156.25
  5. Step 5: Solve for x
    x = 132,050,475,156.25/168,340.25
  6. Step 6: Final answer
    x = 784,426.04

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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.