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Finding the Third Proportional to 152,295 and 223,249

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Solution

The third proportional to 152,295 and 223,249 is: 327,260.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,295 : 223,249 = 223,249 : x
  2. Step 2: Convert to fraction form
    152,295/223,249 = 223,249/x
  3. Step 3: Cross multiply
    152,295x = 223,249 × 223,249
  4. Step 4: Simplify right side
    152,295x = 49,840,116,001
  5. Step 5: Solve for x
    x = 49,840,116,001/152,295
  6. Step 6: Final answer
    x = 327,260.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.