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Finding the Third Proportional to 119,226 and 243,918

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Solution

The third proportional to 119,226 and 243,918 is: 499,018.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,226 : 243,918 = 243,918 : x
  2. Step 2: Convert to fraction form
    119,226/243,918 = 243,918/x
  3. Step 3: Cross multiply
    119,226x = 243,918 × 243,918
  4. Step 4: Simplify right side
    119,226x = 59,495,990,724
  5. Step 5: Solve for x
    x = 59,495,990,724/119,226
  6. Step 6: Final answer
    x = 499,018.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.