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Finding the Third Proportional to 180,306 and 280,287

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Solution

The third proportional to 180,306 and 280,287 is: 435,708.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,306 : 280,287 = 280,287 : x
  2. Step 2: Convert to fraction form
    180,306/280,287 = 280,287/x
  3. Step 3: Cross multiply
    180,306x = 280,287 × 280,287
  4. Step 4: Simplify right side
    180,306x = 78,560,802,369
  5. Step 5: Solve for x
    x = 78,560,802,369/180,306
  6. Step 6: Final answer
    x = 435,708.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.