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Finding the Third Proportional to 168,149.75 and 249,829.25

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Solution

The third proportional to 168,149.75 and 249,829.25 is: 371,184.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,149.75 : 249,829.25 = 249,829.25 : x
  2. Step 2: Convert to fraction form
    168,149.75/249,829.25 = 249,829.25/x
  3. Step 3: Cross multiply
    168,149.75x = 249,829.25 × 249,829.25
  4. Step 4: Simplify right side
    168,149.75x = 62,414,654,155.56
  5. Step 5: Solve for x
    x = 62,414,654,155.56/168,149.75
  6. Step 6: Final answer
    x = 371,184.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.