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Finding the Third Proportional to 144,775.29 and 220,114.66

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Solution

The third proportional to 144,775.29 and 220,114.66 is: 334,659.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,775.29 : 220,114.66 = 220,114.66 : x
  2. Step 2: Convert to fraction form
    144,775.29/220,114.66 = 220,114.66/x
  3. Step 3: Cross multiply
    144,775.29x = 220,114.66 × 220,114.66
  4. Step 4: Simplify right side
    144,775.29x = 48,450,464,529.27
  5. Step 5: Solve for x
    x = 48,450,464,529.27/144,775.29
  6. Step 6: Final answer
    x = 334,659.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.