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Finding the Third Proportional to 218,749.50 and 342,706.50

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Solution

The third proportional to 218,749.50 and 342,706.50 is: 536,905.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,749.50 : 342,706.50 = 342,706.50 : x
  2. Step 2: Convert to fraction form
    218,749.50/342,706.50 = 342,706.50/x
  3. Step 3: Cross multiply
    218,749.50x = 342,706.50 × 342,706.50
  4. Step 4: Simplify right side
    218,749.50x = 117,447,745,142.25
  5. Step 5: Solve for x
    x = 117,447,745,142.25/218,749.50
  6. Step 6: Final answer
    x = 536,905.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.