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Finding the Third Proportional to 140,478 and 304,284

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Solution

The third proportional to 140,478 and 304,284 is: 659,097.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,478 : 304,284 = 304,284 : x
  2. Step 2: Convert to fraction form
    140,478/304,284 = 304,284/x
  3. Step 3: Cross multiply
    140,478x = 304,284 × 304,284
  4. Step 4: Simplify right side
    140,478x = 92,588,752,656
  5. Step 5: Solve for x
    x = 92,588,752,656/140,478
  6. Step 6: Final answer
    x = 659,097.88

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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.