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Finding the Third Proportional to 166,370 and 235,405

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Solution

The third proportional to 166,370 and 235,405 is: 333,085.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,370 : 235,405 = 235,405 : x
  2. Step 2: Convert to fraction form
    166,370/235,405 = 235,405/x
  3. Step 3: Cross multiply
    166,370x = 235,405 × 235,405
  4. Step 4: Simplify right side
    166,370x = 55,415,514,025
  5. Step 5: Solve for x
    x = 55,415,514,025/166,370
  6. Step 6: Final answer
    x = 333,085.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.