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Finding the Third Proportional to 207,632 and 296,912

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Solution

The third proportional to 207,632 and 296,912 is: 424,581.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,632 : 296,912 = 296,912 : x
  2. Step 2: Convert to fraction form
    207,632/296,912 = 296,912/x
  3. Step 3: Cross multiply
    207,632x = 296,912 × 296,912
  4. Step 4: Simplify right side
    207,632x = 88,156,735,744
  5. Step 5: Solve for x
    x = 88,156,735,744/207,632
  6. Step 6: Final answer
    x = 424,581.64

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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.