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Finding the Third Proportional to 207,276.75 and 430,132.50

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Solution

The third proportional to 207,276.75 and 430,132.50 is: 892,593.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,276.75 : 430,132.50 = 430,132.50 : x
  2. Step 2: Convert to fraction form
    207,276.75/430,132.50 = 430,132.50/x
  3. Step 3: Cross multiply
    207,276.75x = 430,132.50 × 430,132.50
  4. Step 4: Simplify right side
    207,276.75x = 185,013,967,556.25
  5. Step 5: Solve for x
    x = 185,013,967,556.25/207,276.75
  6. Step 6: Final answer
    x = 892,593.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.