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Finding the Third Proportional to 210,133.50 and 283,110.75

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Solution

The third proportional to 210,133.50 and 283,110.75 is: 381,432.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,133.50 : 283,110.75 = 283,110.75 : x
  2. Step 2: Convert to fraction form
    210,133.50/283,110.75 = 283,110.75/x
  3. Step 3: Cross multiply
    210,133.50x = 283,110.75 × 283,110.75
  4. Step 4: Simplify right side
    210,133.50x = 80,151,696,765.56
  5. Step 5: Solve for x
    x = 80,151,696,765.56/210,133.50
  6. Step 6: Final answer
    x = 381,432.26

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.