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Finding the Third Proportional to 175,510.50 and 377,277

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Solution

The third proportional to 175,510.50 and 377,277 is: 810,993.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,510.50 : 377,277 = 377,277 : x
  2. Step 2: Convert to fraction form
    175,510.50/377,277 = 377,277/x
  3. Step 3: Cross multiply
    175,510.50x = 377,277 × 377,277
  4. Step 4: Simplify right side
    175,510.50x = 142,337,934,729
  5. Step 5: Solve for x
    x = 142,337,934,729/175,510.50
  6. Step 6: Final answer
    x = 810,993.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.