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Finding the Third Proportional to 207,989.44 and 297,221.06

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Solution

The third proportional to 207,989.44 and 297,221.06 is: 424,734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,989.44 : 297,221.06 = 297,221.06 : x
  2. Step 2: Convert to fraction form
    207,989.44/297,221.06 = 297,221.06/x
  3. Step 3: Cross multiply
    207,989.44x = 297,221.06 × 297,221.06
  4. Step 4: Simplify right side
    207,989.44x = 88,340,359,993.63
  5. Step 5: Solve for x
    x = 88,340,359,993.63/207,989.44
  6. Step 6: Final answer
    x = 424,734.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.