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Finding the Third Proportional to 91,444 and 220,275

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Solution

The third proportional to 91,444 and 220,275 is: 530,609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,444 : 220,275 = 220,275 : x
  2. Step 2: Convert to fraction form
    91,444/220,275 = 220,275/x
  3. Step 3: Cross multiply
    91,444x = 220,275 × 220,275
  4. Step 4: Simplify right side
    91,444x = 48,521,075,625
  5. Step 5: Solve for x
    x = 48,521,075,625/91,444
  6. Step 6: Final answer
    x = 530,609.72

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.