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Finding the Third Proportional to 144,438.19 and 322,068.66

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Solution

The third proportional to 144,438.19 and 322,068.66 is: 718,149.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,438.19 : 322,068.66 = 322,068.66 : x
  2. Step 2: Convert to fraction form
    144,438.19/322,068.66 = 322,068.66/x
  3. Step 3: Cross multiply
    144,438.19x = 322,068.66 × 322,068.66
  4. Step 4: Simplify right side
    144,438.19x = 103,728,219,338.68
  5. Step 5: Solve for x
    x = 103,728,219,338.68/144,438.19
  6. Step 6: Final answer
    x = 718,149.55

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.