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Finding the Third Proportional to 107,487 and 250,998.75

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Solution

The third proportional to 107,487 and 250,998.75 is: 586,120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,487 : 250,998.75 = 250,998.75 : x
  2. Step 2: Convert to fraction form
    107,487/250,998.75 = 250,998.75/x
  3. Step 3: Cross multiply
    107,487x = 250,998.75 × 250,998.75
  4. Step 4: Simplify right side
    107,487x = 63,000,372,501.56
  5. Step 5: Solve for x
    x = 63,000,372,501.56/107,487
  6. Step 6: Final answer
    x = 586,120.86

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.