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Finding the Third Proportional to 140,540 and 304,594

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Solution

The third proportional to 140,540 and 304,594 is: 660,150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,540 : 304,594 = 304,594 : x
  2. Step 2: Convert to fraction form
    140,540/304,594 = 304,594/x
  3. Step 3: Cross multiply
    140,540x = 304,594 × 304,594
  4. Step 4: Simplify right side
    140,540x = 92,777,504,836
  5. Step 5: Solve for x
    x = 92,777,504,836/140,540
  6. Step 6: Final answer
    x = 660,150.17

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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.