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Finding the Third Proportional to 141,204 and 275,312

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Solution

The third proportional to 141,204 and 275,312 is: 536,788.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,204 : 275,312 = 275,312 : x
  2. Step 2: Convert to fraction form
    141,204/275,312 = 275,312/x
  3. Step 3: Cross multiply
    141,204x = 275,312 × 275,312
  4. Step 4: Simplify right side
    141,204x = 75,796,697,344
  5. Step 5: Solve for x
    x = 75,796,697,344/141,204
  6. Step 6: Final answer
    x = 536,788.60

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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.