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Finding the Third Proportional to 173,167.50 and 265,995

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Solution

The third proportional to 173,167.50 and 265,995 is: 408,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,167.50 : 265,995 = 265,995 : x
  2. Step 2: Convert to fraction form
    173,167.50/265,995 = 265,995/x
  3. Step 3: Cross multiply
    173,167.50x = 265,995 × 265,995
  4. Step 4: Simplify right side
    173,167.50x = 70,753,340,025
  5. Step 5: Solve for x
    x = 70,753,340,025/173,167.50
  6. Step 6: Final answer
    x = 408,583.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.