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Finding the Third Proportional to 170,742.50 and 250,578

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Solution

The third proportional to 170,742.50 and 250,578 is: 367,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,742.50 : 250,578 = 250,578 : x
  2. Step 2: Convert to fraction form
    170,742.50/250,578 = 250,578/x
  3. Step 3: Cross multiply
    170,742.50x = 250,578 × 250,578
  4. Step 4: Simplify right side
    170,742.50x = 62,789,334,084
  5. Step 5: Solve for x
    x = 62,789,334,084/170,742.50
  6. Step 6: Final answer
    x = 367,742.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.