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Finding the Third Proportional to 251,032.50 and 351,114.75

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Solution

The third proportional to 251,032.50 and 351,114.75 is: 491,098.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,032.50 : 351,114.75 = 351,114.75 : x
  2. Step 2: Convert to fraction form
    251,032.50/351,114.75 = 351,114.75/x
  3. Step 3: Cross multiply
    251,032.50x = 351,114.75 × 351,114.75
  4. Step 4: Simplify right side
    251,032.50x = 123,281,567,667.56
  5. Step 5: Solve for x
    x = 123,281,567,667.56/251,032.50
  6. Step 6: Final answer
    x = 491,098.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.