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Finding the Third Proportional to 144,434 and 223,207

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Solution

The third proportional to 144,434 and 223,207 is: 344,942.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,434 : 223,207 = 223,207 : x
  2. Step 2: Convert to fraction form
    144,434/223,207 = 223,207/x
  3. Step 3: Cross multiply
    144,434x = 223,207 × 223,207
  4. Step 4: Simplify right side
    144,434x = 49,821,364,849
  5. Step 5: Solve for x
    x = 49,821,364,849/144,434
  6. Step 6: Final answer
    x = 344,942.08

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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.