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Finding the Third Proportional to 144,428 and 223,198

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Solution

The third proportional to 144,428 and 223,198 is: 344,928.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,428 : 223,198 = 223,198 : x
  2. Step 2: Convert to fraction form
    144,428/223,198 = 223,198/x
  3. Step 3: Cross multiply
    144,428x = 223,198 × 223,198
  4. Step 4: Simplify right side
    144,428x = 49,817,347,204
  5. Step 5: Solve for x
    x = 49,817,347,204/144,428
  6. Step 6: Final answer
    x = 344,928.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.