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Finding the Third Proportional to 167,806.50 and 243,784.50

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Solution

The third proportional to 167,806.50 and 243,784.50 is: 354,163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,806.50 : 243,784.50 = 243,784.50 : x
  2. Step 2: Convert to fraction form
    167,806.50/243,784.50 = 243,784.50/x
  3. Step 3: Cross multiply
    167,806.50x = 243,784.50 × 243,784.50
  4. Step 4: Simplify right side
    167,806.50x = 59,430,882,440.25
  5. Step 5: Solve for x
    x = 59,430,882,440.25/167,806.50
  6. Step 6: Final answer
    x = 354,163.17

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.