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Finding the Third Proportional to 171,038.25 and 366,982.50

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Solution

The third proportional to 171,038.25 and 366,982.50 is: 787,403.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,038.25 : 366,982.50 = 366,982.50 : x
  2. Step 2: Convert to fraction form
    171,038.25/366,982.50 = 366,982.50/x
  3. Step 3: Cross multiply
    171,038.25x = 366,982.50 × 366,982.50
  4. Step 4: Simplify right side
    171,038.25x = 134,676,155,306.25
  5. Step 5: Solve for x
    x = 134,676,155,306.25/171,038.25
  6. Step 6: Final answer
    x = 787,403.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.