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Finding the Third Proportional to 152,895.94 and 220,231.41

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Solution

The third proportional to 152,895.94 and 220,231.41 is: 317,221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,895.94 : 220,231.41 = 220,231.41 : x
  2. Step 2: Convert to fraction form
    152,895.94/220,231.41 = 220,231.41/x
  3. Step 3: Cross multiply
    152,895.94x = 220,231.41 × 220,231.41
  4. Step 4: Simplify right side
    152,895.94x = 48,501,872,298.85
  5. Step 5: Solve for x
    x = 48,501,872,298.85/152,895.94
  6. Step 6: Final answer
    x = 317,221.46

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.