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Finding the Third Proportional to 140,090 and 210,279

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Solution

The third proportional to 140,090 and 210,279 is: 315,634.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,090 : 210,279 = 210,279 : x
  2. Step 2: Convert to fraction form
    140,090/210,279 = 210,279/x
  3. Step 3: Cross multiply
    140,090x = 210,279 × 210,279
  4. Step 4: Simplify right side
    140,090x = 44,217,257,841
  5. Step 5: Solve for x
    x = 44,217,257,841/140,090
  6. Step 6: Final answer
    x = 315,634.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.