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Finding the Third Proportional to 164,578 and 220,624

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Solution

The third proportional to 164,578 and 220,624 is: 295,756.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,578 : 220,624 = 220,624 : x
  2. Step 2: Convert to fraction form
    164,578/220,624 = 220,624/x
  3. Step 3: Cross multiply
    164,578x = 220,624 × 220,624
  4. Step 4: Simplify right side
    164,578x = 48,674,949,376
  5. Step 5: Solve for x
    x = 48,674,949,376/164,578
  6. Step 6: Final answer
    x = 295,756.11

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.