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Finding the Third Proportional to 155,848 and 220,524

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Solution

The third proportional to 155,848 and 220,524 is: 312,040.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,848 : 220,524 = 220,524 : x
  2. Step 2: Convert to fraction form
    155,848/220,524 = 220,524/x
  3. Step 3: Cross multiply
    155,848x = 220,524 × 220,524
  4. Step 4: Simplify right side
    155,848x = 48,630,834,576
  5. Step 5: Solve for x
    x = 48,630,834,576/155,848
  6. Step 6: Final answer
    x = 312,040.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.