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Finding the Third Proportional to 140,480 and 304,288

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Solution

The third proportional to 140,480 and 304,288 is: 659,105.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,480 : 304,288 = 304,288 : x
  2. Step 2: Convert to fraction form
    140,480/304,288 = 304,288/x
  3. Step 3: Cross multiply
    140,480x = 304,288 × 304,288
  4. Step 4: Simplify right side
    140,480x = 92,591,186,944
  5. Step 5: Solve for x
    x = 92,591,186,944/140,480
  6. Step 6: Final answer
    x = 659,105.83

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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.