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Finding the Third Proportional to 173,263.50 and 374,958

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Solution

The third proportional to 173,263.50 and 374,958 is: 811,443.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,263.50 : 374,958 = 374,958 : x
  2. Step 2: Convert to fraction form
    173,263.50/374,958 = 374,958/x
  3. Step 3: Cross multiply
    173,263.50x = 374,958 × 374,958
  4. Step 4: Simplify right side
    173,263.50x = 140,593,501,764
  5. Step 5: Solve for x
    x = 140,593,501,764/173,263.50
  6. Step 6: Final answer
    x = 811,443.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.