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Finding the Third Proportional to 136,069 and 296,235

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Solution

The third proportional to 136,069 and 296,235 is: 644,931.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,069 : 296,235 = 296,235 : x
  2. Step 2: Convert to fraction form
    136,069/296,235 = 296,235/x
  3. Step 3: Cross multiply
    136,069x = 296,235 × 296,235
  4. Step 4: Simplify right side
    136,069x = 87,755,175,225
  5. Step 5: Solve for x
    x = 87,755,175,225/136,069
  6. Step 6: Final answer
    x = 644,931.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.