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Finding the Third Proportional to 154,624 and 220,524

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Solution

The third proportional to 154,624 and 220,524 is: 314,510.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,624 : 220,524 = 220,524 : x
  2. Step 2: Convert to fraction form
    154,624/220,524 = 220,524/x
  3. Step 3: Cross multiply
    154,624x = 220,524 × 220,524
  4. Step 4: Simplify right side
    154,624x = 48,630,834,576
  5. Step 5: Solve for x
    x = 48,630,834,576/154,624
  6. Step 6: Final answer
    x = 314,510.26

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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.