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Finding the Third Proportional to 166,083.75 and 243,589.50

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Solution

The third proportional to 166,083.75 and 243,589.50 is: 357,264.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,083.75 : 243,589.50 = 243,589.50 : x
  2. Step 2: Convert to fraction form
    166,083.75/243,589.50 = 243,589.50/x
  3. Step 3: Cross multiply
    166,083.75x = 243,589.50 × 243,589.50
  4. Step 4: Simplify right side
    166,083.75x = 59,335,844,510.25
  5. Step 5: Solve for x
    x = 59,335,844,510.25/166,083.75
  6. Step 6: Final answer
    x = 357,264.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.