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Finding the Third Proportional to 73,822.50 and 162,405

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Solution

The third proportional to 73,822.50 and 162,405 is: 357,281.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,822.50 : 162,405 = 162,405 : x
  2. Step 2: Convert to fraction form
    73,822.50/162,405 = 162,405/x
  3. Step 3: Cross multiply
    73,822.50x = 162,405 × 162,405
  4. Step 4: Simplify right side
    73,822.50x = 26,375,384,025
  5. Step 5: Solve for x
    x = 26,375,384,025/73,822.50
  6. Step 6: Final answer
    x = 357,281.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.