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Finding the Third Proportional to 166,153.50 and 390,079.50

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Solution

The third proportional to 166,153.50 and 390,079.50 is: 915,791.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,153.50 : 390,079.50 = 390,079.50 : x
  2. Step 2: Convert to fraction form
    166,153.50/390,079.50 = 390,079.50/x
  3. Step 3: Cross multiply
    166,153.50x = 390,079.50 × 390,079.50
  4. Step 4: Simplify right side
    166,153.50x = 152,162,016,320.25
  5. Step 5: Solve for x
    x = 152,162,016,320.25/166,153.50
  6. Step 6: Final answer
    x = 915,791.82

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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.