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Finding the Third Proportional to 168,709.50 and 364,959

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Solution

The third proportional to 168,709.50 and 364,959 is: 789,493.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,709.50 : 364,959 = 364,959 : x
  2. Step 2: Convert to fraction form
    168,709.50/364,959 = 364,959/x
  3. Step 3: Cross multiply
    168,709.50x = 364,959 × 364,959
  4. Step 4: Simplify right side
    168,709.50x = 133,195,071,681
  5. Step 5: Solve for x
    x = 133,195,071,681/168,709.50
  6. Step 6: Final answer
    x = 789,493.61

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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.