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Finding the Third Proportional to 119,266.50 and 167,167.50

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Solution

The third proportional to 119,266.50 and 167,167.50 is: 234,306.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,266.50 : 167,167.50 = 167,167.50 : x
  2. Step 2: Convert to fraction form
    119,266.50/167,167.50 = 167,167.50/x
  3. Step 3: Cross multiply
    119,266.50x = 167,167.50 × 167,167.50
  4. Step 4: Simplify right side
    119,266.50x = 27,944,973,056.25
  5. Step 5: Solve for x
    x = 27,944,973,056.25/119,266.50
  6. Step 6: Final answer
    x = 234,306.98

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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.