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Finding the Third Proportional to 140,380 and 304,402

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Solution

The third proportional to 140,380 and 304,402 is: 660,069.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,380 : 304,402 = 304,402 : x
  2. Step 2: Convert to fraction form
    140,380/304,402 = 304,402/x
  3. Step 3: Cross multiply
    140,380x = 304,402 × 304,402
  4. Step 4: Simplify right side
    140,380x = 92,660,577,604
  5. Step 5: Solve for x
    x = 92,660,577,604/140,380
  6. Step 6: Final answer
    x = 660,069.65

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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.