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Finding the Third Proportional to 166,156.75 and 243,683.25

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Solution

The third proportional to 166,156.75 and 243,683.25 is: 357,382.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,156.75 : 243,683.25 = 243,683.25 : x
  2. Step 2: Convert to fraction form
    166,156.75/243,683.25 = 243,683.25/x
  3. Step 3: Cross multiply
    166,156.75x = 243,683.25 × 243,683.25
  4. Step 4: Simplify right side
    166,156.75x = 59,381,526,330.56
  5. Step 5: Solve for x
    x = 59,381,526,330.56/166,156.75
  6. Step 6: Final answer
    x = 357,382.57

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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.