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Finding the Third Proportional to 170,846.50 and 260,482

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Solution

The third proportional to 170,846.50 and 260,482 is: 397,145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,846.50 : 260,482 = 260,482 : x
  2. Step 2: Convert to fraction form
    170,846.50/260,482 = 260,482/x
  3. Step 3: Cross multiply
    170,846.50x = 260,482 × 260,482
  4. Step 4: Simplify right side
    170,846.50x = 67,850,872,324
  5. Step 5: Solve for x
    x = 67,850,872,324/170,846.50
  6. Step 6: Final answer
    x = 397,145.23

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.