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Finding the Third Proportional to 173,116.25 and 258,982.25

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Solution

The third proportional to 173,116.25 and 258,982.25 is: 387,437.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,116.25 : 258,982.25 = 258,982.25 : x
  2. Step 2: Convert to fraction form
    173,116.25/258,982.25 = 258,982.25/x
  3. Step 3: Cross multiply
    173,116.25x = 258,982.25 × 258,982.25
  4. Step 4: Simplify right side
    173,116.25x = 67,071,805,815.06
  5. Step 5: Solve for x
    x = 67,071,805,815.06/173,116.25
  6. Step 6: Final answer
    x = 387,437.95

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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.