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Finding the Third Proportional to 154,614 and 220,509

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Solution

The third proportional to 154,614 and 220,509 is: 314,487.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,614 : 220,509 = 220,509 : x
  2. Step 2: Convert to fraction form
    154,614/220,509 = 220,509/x
  3. Step 3: Cross multiply
    154,614x = 220,509 × 220,509
  4. Step 4: Simplify right side
    154,614x = 48,624,219,081
  5. Step 5: Solve for x
    x = 48,624,219,081/154,614
  6. Step 6: Final answer
    x = 314,487.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.