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Finding the Third Proportional to 250,750 and 366,516

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Solution

The third proportional to 250,750 and 366,516 is: 535,728.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,750 : 366,516 = 366,516 : x
  2. Step 2: Convert to fraction form
    250,750/366,516 = 366,516/x
  3. Step 3: Cross multiply
    250,750x = 366,516 × 366,516
  4. Step 4: Simplify right side
    250,750x = 134,333,978,256
  5. Step 5: Solve for x
    x = 134,333,978,256/250,750
  6. Step 6: Final answer
    x = 535,728.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.