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Finding the Third Proportional to 207,475.25 and 455,126.50

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Solution

The third proportional to 207,475.25 and 455,126.50 is: 998,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,475.25 : 455,126.50 = 455,126.50 : x
  2. Step 2: Convert to fraction form
    207,475.25/455,126.50 = 455,126.50/x
  3. Step 3: Cross multiply
    207,475.25x = 455,126.50 × 455,126.50
  4. Step 4: Simplify right side
    207,475.25x = 207,140,131,002.25
  5. Step 5: Solve for x
    x = 207,140,131,002.25/207,475.25
  6. Step 6: Final answer
    x = 998,384.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.