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Finding the Third Proportional to 239,305 and 370,496

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Solution

The third proportional to 239,305 and 370,496 is: 573,608.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,305 : 370,496 = 370,496 : x
  2. Step 2: Convert to fraction form
    239,305/370,496 = 370,496/x
  3. Step 3: Cross multiply
    239,305x = 370,496 × 370,496
  4. Step 4: Simplify right side
    239,305x = 137,267,286,016
  5. Step 5: Solve for x
    x = 137,267,286,016/239,305
  6. Step 6: Final answer
    x = 573,608.10

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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.