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Finding the Third Proportional to 151,814 and 243,921

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Solution

The third proportional to 151,814 and 243,921 is: 391,910.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,814 : 243,921 = 243,921 : x
  2. Step 2: Convert to fraction form
    151,814/243,921 = 243,921/x
  3. Step 3: Cross multiply
    151,814x = 243,921 × 243,921
  4. Step 4: Simplify right side
    151,814x = 59,497,454,241
  5. Step 5: Solve for x
    x = 59,497,454,241/151,814
  6. Step 6: Final answer
    x = 391,910.19

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.