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Finding the Third Proportional to 140,287 and 300,673

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Solution

The third proportional to 140,287 and 300,673 is: 644,423.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,287 : 300,673 = 300,673 : x
  2. Step 2: Convert to fraction form
    140,287/300,673 = 300,673/x
  3. Step 3: Cross multiply
    140,287x = 300,673 × 300,673
  4. Step 4: Simplify right side
    140,287x = 90,404,252,929
  5. Step 5: Solve for x
    x = 90,404,252,929/140,287
  6. Step 6: Final answer
    x = 644,423.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.