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Finding the Third Proportional to 140,440 and 300,562

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Solution

The third proportional to 140,440 and 300,562 is: 643,246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,440 : 300,562 = 300,562 : x
  2. Step 2: Convert to fraction form
    140,440/300,562 = 300,562/x
  3. Step 3: Cross multiply
    140,440x = 300,562 × 300,562
  4. Step 4: Simplify right side
    140,440x = 90,337,515,844
  5. Step 5: Solve for x
    x = 90,337,515,844/140,440
  6. Step 6: Final answer
    x = 643,246.34

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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.