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Finding the Third Proportional to 140,590 and 215,062

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Solution

The third proportional to 140,590 and 215,062 is: 328,982.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,590 : 215,062 = 215,062 : x
  2. Step 2: Convert to fraction form
    140,590/215,062 = 215,062/x
  3. Step 3: Cross multiply
    140,590x = 215,062 × 215,062
  4. Step 4: Simplify right side
    140,590x = 46,251,663,844
  5. Step 5: Solve for x
    x = 46,251,663,844/140,590
  6. Step 6: Final answer
    x = 328,982.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.