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Finding the Third Proportional to 239,204 and 370,470

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Solution

The third proportional to 239,204 and 370,470 is: 573,769.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,204 : 370,470 = 370,470 : x
  2. Step 2: Convert to fraction form
    239,204/370,470 = 370,470/x
  3. Step 3: Cross multiply
    239,204x = 370,470 × 370,470
  4. Step 4: Simplify right side
    239,204x = 137,248,020,900
  5. Step 5: Solve for x
    x = 137,248,020,900/239,204
  6. Step 6: Final answer
    x = 573,769.76

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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.