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Finding the Third Proportional to 133,919 and 288,339

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Solution

The third proportional to 133,919 and 288,339 is: 620,818.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,919 : 288,339 = 288,339 : x
  2. Step 2: Convert to fraction form
    133,919/288,339 = 288,339/x
  3. Step 3: Cross multiply
    133,919x = 288,339 × 288,339
  4. Step 4: Simplify right side
    133,919x = 83,139,378,921
  5. Step 5: Solve for x
    x = 83,139,378,921/133,919
  6. Step 6: Final answer
    x = 620,818.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.