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Finding the Third Proportional to 170,797.50 and 260,719.88

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Solution

The third proportional to 170,797.50 and 260,719.88 is: 397,985.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,797.50 : 260,719.88 = 260,719.88 : x
  2. Step 2: Convert to fraction form
    170,797.50/260,719.88 = 260,719.88/x
  3. Step 3: Cross multiply
    170,797.50x = 260,719.88 × 260,719.88
  4. Step 4: Simplify right side
    170,797.50x = 67,974,853,220.02
  5. Step 5: Solve for x
    x = 67,974,853,220.02/170,797.50
  6. Step 6: Final answer
    x = 397,985.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.