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Finding the Third Proportional to 104,600 and 230,314

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Solution

The third proportional to 104,600 and 230,314 is: 507,117.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,600 : 230,314 = 230,314 : x
  2. Step 2: Convert to fraction form
    104,600/230,314 = 230,314/x
  3. Step 3: Cross multiply
    104,600x = 230,314 × 230,314
  4. Step 4: Simplify right side
    104,600x = 53,044,538,596
  5. Step 5: Solve for x
    x = 53,044,538,596/104,600
  6. Step 6: Final answer
    x = 507,117.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.