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Finding the Third Proportional to 149,206 and 290,797

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Solution

The third proportional to 149,206 and 290,797 is: 566,752.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,206 : 290,797 = 290,797 : x
  2. Step 2: Convert to fraction form
    149,206/290,797 = 290,797/x
  3. Step 3: Cross multiply
    149,206x = 290,797 × 290,797
  4. Step 4: Simplify right side
    149,206x = 84,562,895,209
  5. Step 5: Solve for x
    x = 84,562,895,209/149,206
  6. Step 6: Final answer
    x = 566,752.65

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.