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Finding the Third Proportional to 152,286 and 350,979

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Solution

The third proportional to 152,286 and 350,979 is: 808,913.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,286 : 350,979 = 350,979 : x
  2. Step 2: Convert to fraction form
    152,286/350,979 = 350,979/x
  3. Step 3: Cross multiply
    152,286x = 350,979 × 350,979
  4. Step 4: Simplify right side
    152,286x = 123,186,258,441
  5. Step 5: Solve for x
    x = 123,186,258,441/152,286
  6. Step 6: Final answer
    x = 808,913.88

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.