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Finding the Third Proportional to 230,981 and 345,529.50

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Solution

The third proportional to 230,981 and 345,529.50 is: 516,885.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,981 : 345,529.50 = 345,529.50 : x
  2. Step 2: Convert to fraction form
    230,981/345,529.50 = 345,529.50/x
  3. Step 3: Cross multiply
    230,981x = 345,529.50 × 345,529.50
  4. Step 4: Simplify right side
    230,981x = 119,390,635,370.25
  5. Step 5: Solve for x
    x = 119,390,635,370.25/230,981
  6. Step 6: Final answer
    x = 516,885.09

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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.