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Finding the Third Proportional to 166,102.50 and 389,952

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Solution

The third proportional to 166,102.50 and 389,952 is: 915,474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,102.50 : 389,952 = 389,952 : x
  2. Step 2: Convert to fraction form
    166,102.50/389,952 = 389,952/x
  3. Step 3: Cross multiply
    166,102.50x = 389,952 × 389,952
  4. Step 4: Simplify right side
    166,102.50x = 152,062,562,304
  5. Step 5: Solve for x
    x = 152,062,562,304/166,102.50
  6. Step 6: Final answer
    x = 915,474.25

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.