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Finding the Third Proportional to 168,257.25 and 249,743.25

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Solution

The third proportional to 168,257.25 and 249,743.25 is: 370,692.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,257.25 : 249,743.25 = 249,743.25 : x
  2. Step 2: Convert to fraction form
    168,257.25/249,743.25 = 249,743.25/x
  3. Step 3: Cross multiply
    168,257.25x = 249,743.25 × 249,743.25
  4. Step 4: Simplify right side
    168,257.25x = 62,371,690,920.56
  5. Step 5: Solve for x
    x = 62,371,690,920.56/168,257.25
  6. Step 6: Final answer
    x = 370,692.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.