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Finding the Third Proportional to 212,949.75 and 469,108.13

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Solution

The third proportional to 212,949.75 and 469,108.13 is: 1,033,400.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,949.75 : 469,108.13 = 469,108.13 : x
  2. Step 2: Convert to fraction form
    212,949.75/469,108.13 = 469,108.13/x
  3. Step 3: Cross multiply
    212,949.75x = 469,108.13 × 469,108.13
  4. Step 4: Simplify right side
    212,949.75x = 220,062,432,941.02
  5. Step 5: Solve for x
    x = 220,062,432,941.02/212,949.75
  6. Step 6: Final answer
    x = 1,033,400.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.