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Finding the Third Proportional to 270,404.25 and 424,167.75

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Solution

The third proportional to 270,404.25 and 424,167.75 is: 665,367.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,404.25 : 424,167.75 = 424,167.75 : x
  2. Step 2: Convert to fraction form
    270,404.25/424,167.75 = 424,167.75/x
  3. Step 3: Cross multiply
    270,404.25x = 424,167.75 × 424,167.75
  4. Step 4: Simplify right side
    270,404.25x = 179,918,280,140.06
  5. Step 5: Solve for x
    x = 179,918,280,140.06/270,404.25
  6. Step 6: Final answer
    x = 665,367.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.