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Finding the Third Proportional to 140,292 and 209,884.50

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Solution

The third proportional to 140,292 and 209,884.50 is: 313,998.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,292 : 209,884.50 = 209,884.50 : x
  2. Step 2: Convert to fraction form
    140,292/209,884.50 = 209,884.50/x
  3. Step 3: Cross multiply
    140,292x = 209,884.50 × 209,884.50
  4. Step 4: Simplify right side
    140,292x = 44,051,503,340.25
  5. Step 5: Solve for x
    x = 44,051,503,340.25/140,292
  6. Step 6: Final answer
    x = 313,998.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.