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Finding the Third Proportional to 207,631.97 and 296,911.69

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Solution

The third proportional to 207,631.97 and 296,911.69 is: 424,580.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,631.97 : 296,911.69 = 296,911.69 : x
  2. Step 2: Convert to fraction form
    207,631.97/296,911.69 = 296,911.69/x
  3. Step 3: Cross multiply
    207,631.97x = 296,911.69 × 296,911.69
  4. Step 4: Simplify right side
    207,631.97x = 88,156,550,174.10
  5. Step 5: Solve for x
    x = 88,156,550,174.10/207,631.97
  6. Step 6: Final answer
    x = 424,580.81

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