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Finding the Third Proportional to 133,695 and 200,569.50

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Solution

The third proportional to 133,695 and 200,569.50 is: 300,894.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,695 : 200,569.50 = 200,569.50 : x
  2. Step 2: Convert to fraction form
    133,695/200,569.50 = 200,569.50/x
  3. Step 3: Cross multiply
    133,695x = 200,569.50 × 200,569.50
  4. Step 4: Simplify right side
    133,695x = 40,228,124,330.25
  5. Step 5: Solve for x
    x = 40,228,124,330.25/133,695
  6. Step 6: Final answer
    x = 300,894.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.