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Finding the Third Proportional to 144,426 and 223,195

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Solution

The third proportional to 144,426 and 223,195 is: 344,924.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,426 : 223,195 = 223,195 : x
  2. Step 2: Convert to fraction form
    144,426/223,195 = 223,195/x
  3. Step 3: Cross multiply
    144,426x = 223,195 × 223,195
  4. Step 4: Simplify right side
    144,426x = 49,816,008,025
  5. Step 5: Solve for x
    x = 49,816,008,025/144,426
  6. Step 6: Final answer
    x = 344,924.10

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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.