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Finding the Third Proportional to 158,604.50 and 374,275

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Solution

The third proportional to 158,604.50 and 374,275 is: 883,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,604.50 : 374,275 = 374,275 : x
  2. Step 2: Convert to fraction form
    158,604.50/374,275 = 374,275/x
  3. Step 3: Cross multiply
    158,604.50x = 374,275 × 374,275
  4. Step 4: Simplify right side
    158,604.50x = 140,081,775,625
  5. Step 5: Solve for x
    x = 140,081,775,625/158,604.50
  6. Step 6: Final answer
    x = 883,214.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.