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Finding the Third Proportional to 173,116.50 and 258,983.06

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Solution

The third proportional to 173,116.50 and 258,983.06 is: 387,439.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,116.50 : 258,983.06 = 258,983.06 : x
  2. Step 2: Convert to fraction form
    173,116.50/258,983.06 = 258,983.06/x
  3. Step 3: Cross multiply
    173,116.50x = 258,983.06 × 258,983.06
  4. Step 4: Simplify right side
    173,116.50x = 67,072,226,661.88
  5. Step 5: Solve for x
    x = 67,072,226,661.88/173,116.50
  6. Step 6: Final answer
    x = 387,439.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.