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Finding the Third Proportional to 70,341 and 166,048.50

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Solution

The third proportional to 70,341 and 166,048.50 is: 391,977.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,341 : 166,048.50 = 166,048.50 : x
  2. Step 2: Convert to fraction form
    70,341/166,048.50 = 166,048.50/x
  3. Step 3: Cross multiply
    70,341x = 166,048.50 × 166,048.50
  4. Step 4: Simplify right side
    70,341x = 27,572,104,352.25
  5. Step 5: Solve for x
    x = 27,572,104,352.25/70,341
  6. Step 6: Final answer
    x = 391,977.71

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