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Finding the Third Proportional to 144,965.53 and 217,722.09

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Solution

The third proportional to 144,965.53 and 217,722.09 is: 326,994.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,965.53 : 217,722.09 = 217,722.09 : x
  2. Step 2: Convert to fraction form
    144,965.53/217,722.09 = 217,722.09/x
  3. Step 3: Cross multiply
    144,965.53x = 217,722.09 × 217,722.09
  4. Step 4: Simplify right side
    144,965.53x = 47,402,910,106.88
  5. Step 5: Solve for x
    x = 47,402,910,106.88/144,965.53
  6. Step 6: Final answer
    x = 326,994.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.