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Finding the Third Proportional to 140,250 and 304,278

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Solution

The third proportional to 140,250 and 304,278 is: 660,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,250 : 304,278 = 304,278 : x
  2. Step 2: Convert to fraction form
    140,250/304,278 = 304,278/x
  3. Step 3: Cross multiply
    140,250x = 304,278 × 304,278
  4. Step 4: Simplify right side
    140,250x = 92,585,101,284
  5. Step 5: Solve for x
    x = 92,585,101,284/140,250
  6. Step 6: Final answer
    x = 660,143.32

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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.