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Finding the Third Proportional to 128,283.50 and 201,233.50

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Solution

The third proportional to 128,283.50 and 201,233.50 is: 315,667.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,283.50 : 201,233.50 = 201,233.50 : x
  2. Step 2: Convert to fraction form
    128,283.50/201,233.50 = 201,233.50/x
  3. Step 3: Cross multiply
    128,283.50x = 201,233.50 × 201,233.50
  4. Step 4: Simplify right side
    128,283.50x = 40,494,921,522.25
  5. Step 5: Solve for x
    x = 40,494,921,522.25/128,283.50
  6. Step 6: Final answer
    x = 315,667.42

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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.