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Finding the Third Proportional to 169,319.25 and 361,966.50

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Solution

The third proportional to 169,319.25 and 361,966.50 is: 773,803.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,319.25 : 361,966.50 = 361,966.50 : x
  2. Step 2: Convert to fraction form
    169,319.25/361,966.50 = 361,966.50/x
  3. Step 3: Cross multiply
    169,319.25x = 361,966.50 × 361,966.50
  4. Step 4: Simplify right side
    169,319.25x = 131,019,747,122.25
  5. Step 5: Solve for x
    x = 131,019,747,122.25/169,319.25
  6. Step 6: Final answer
    x = 773,803.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.