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Finding the Third Proportional to 136,463 and 296,236

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Solution

The third proportional to 136,463 and 296,236 is: 643,073.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,463 : 296,236 = 296,236 : x
  2. Step 2: Convert to fraction form
    136,463/296,236 = 296,236/x
  3. Step 3: Cross multiply
    136,463x = 296,236 × 296,236
  4. Step 4: Simplify right side
    136,463x = 87,755,767,696
  5. Step 5: Solve for x
    x = 87,755,767,696/136,463
  6. Step 6: Final answer
    x = 643,073.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.