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Finding the Third Proportional to 140,121 and 290,214

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Solution

The third proportional to 140,121 and 290,214 is: 601,081.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,121 : 290,214 = 290,214 : x
  2. Step 2: Convert to fraction form
    140,121/290,214 = 290,214/x
  3. Step 3: Cross multiply
    140,121x = 290,214 × 290,214
  4. Step 4: Simplify right side
    140,121x = 84,224,165,796
  5. Step 5: Solve for x
    x = 84,224,165,796/140,121
  6. Step 6: Final answer
    x = 601,081.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.