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Finding the Third Proportional to 166,450.50 and 243,829.50

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Solution

The third proportional to 166,450.50 and 243,829.50 is: 357,180.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,450.50 : 243,829.50 = 243,829.50 : x
  2. Step 2: Convert to fraction form
    166,450.50/243,829.50 = 243,829.50/x
  3. Step 3: Cross multiply
    166,450.50x = 243,829.50 × 243,829.50
  4. Step 4: Simplify right side
    166,450.50x = 59,452,825,070.25
  5. Step 5: Solve for x
    x = 59,452,825,070.25/166,450.50
  6. Step 6: Final answer
    x = 357,180.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.