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Finding the Third Proportional to 140,902 and 291,118

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Solution

The third proportional to 140,902 and 291,118 is: 601,479.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,902 : 291,118 = 291,118 : x
  2. Step 2: Convert to fraction form
    140,902/291,118 = 291,118/x
  3. Step 3: Cross multiply
    140,902x = 291,118 × 291,118
  4. Step 4: Simplify right side
    140,902x = 84,749,689,924
  5. Step 5: Solve for x
    x = 84,749,689,924/140,902
  6. Step 6: Final answer
    x = 601,479.68

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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.