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Finding the Third Proportional to 140,102 and 300,940

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Solution

The third proportional to 140,102 and 300,940 is: 646,421.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,102 : 300,940 = 300,940 : x
  2. Step 2: Convert to fraction form
    140,102/300,940 = 300,940/x
  3. Step 3: Cross multiply
    140,102x = 300,940 × 300,940
  4. Step 4: Simplify right side
    140,102x = 90,564,883,600
  5. Step 5: Solve for x
    x = 90,564,883,600/140,102
  6. Step 6: Final answer
    x = 646,421.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.