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Finding the Third Proportional to 167,769 and 235,165.50

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Solution

The third proportional to 167,769 and 235,165.50 is: 329,636.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,769 : 235,165.50 = 235,165.50 : x
  2. Step 2: Convert to fraction form
    167,769/235,165.50 = 235,165.50/x
  3. Step 3: Cross multiply
    167,769x = 235,165.50 × 235,165.50
  4. Step 4: Simplify right side
    167,769x = 55,302,812,390.25
  5. Step 5: Solve for x
    x = 55,302,812,390.25/167,769
  6. Step 6: Final answer
    x = 329,636.66

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.