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Finding the Third Proportional to 166,605 and 237,442.50

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Solution

The third proportional to 166,605 and 237,442.50 is: 338,398.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,605 : 237,442.50 = 237,442.50 : x
  2. Step 2: Convert to fraction form
    166,605/237,442.50 = 237,442.50/x
  3. Step 3: Cross multiply
    166,605x = 237,442.50 × 237,442.50
  4. Step 4: Simplify right side
    166,605x = 56,378,940,806.25
  5. Step 5: Solve for x
    x = 56,378,940,806.25/166,605
  6. Step 6: Final answer
    x = 338,398.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.