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Finding the Third Proportional to 159,532.88 and 246,992.06

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Solution

The third proportional to 159,532.88 and 246,992.06 is: 382,398.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,532.88 : 246,992.06 = 246,992.06 : x
  2. Step 2: Convert to fraction form
    159,532.88/246,992.06 = 246,992.06/x
  3. Step 3: Cross multiply
    159,532.88x = 246,992.06 × 246,992.06
  4. Step 4: Simplify right side
    159,532.88x = 61,005,078,938.00
  5. Step 5: Solve for x
    x = 61,005,078,938.00/159,532.88
  6. Step 6: Final answer
    x = 382,398.17

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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.