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Finding the Third Proportional to 144,410 and 223,171

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Solution

The third proportional to 144,410 and 223,171 is: 344,888.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,410 : 223,171 = 223,171 : x
  2. Step 2: Convert to fraction form
    144,410/223,171 = 223,171/x
  3. Step 3: Cross multiply
    144,410x = 223,171 × 223,171
  4. Step 4: Simplify right side
    144,410x = 49,805,295,241
  5. Step 5: Solve for x
    x = 49,805,295,241/144,410
  6. Step 6: Final answer
    x = 344,888.13

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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.