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Finding the Third Proportional to 207,635 and 296,916

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Solution

The third proportional to 207,635 and 296,916 is: 424,586.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,635 : 296,916 = 296,916 : x
  2. Step 2: Convert to fraction form
    207,635/296,916 = 296,916/x
  3. Step 3: Cross multiply
    207,635x = 296,916 × 296,916
  4. Step 4: Simplify right side
    207,635x = 88,159,111,056
  5. Step 5: Solve for x
    x = 88,159,111,056/207,635
  6. Step 6: Final answer
    x = 424,586.95

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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.