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Finding the Third Proportional to 220,941 and 345,624

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Solution

The third proportional to 220,941 and 345,624 is: 540,669.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,941 : 345,624 = 345,624 : x
  2. Step 2: Convert to fraction form
    220,941/345,624 = 345,624/x
  3. Step 3: Cross multiply
    220,941x = 345,624 × 345,624
  4. Step 4: Simplify right side
    220,941x = 119,455,949,376
  5. Step 5: Solve for x
    x = 119,455,949,376/220,941
  6. Step 6: Final answer
    x = 540,669.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.