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Finding the Third Proportional to 230,098.50 and 502,033.50

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Solution

The third proportional to 230,098.50 and 502,033.50 is: 1,095,346.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,098.50 : 502,033.50 = 502,033.50 : x
  2. Step 2: Convert to fraction form
    230,098.50/502,033.50 = 502,033.50/x
  3. Step 3: Cross multiply
    230,098.50x = 502,033.50 × 502,033.50
  4. Step 4: Simplify right side
    230,098.50x = 252,037,635,122.25
  5. Step 5: Solve for x
    x = 252,037,635,122.25/230,098.50
  6. Step 6: Final answer
    x = 1,095,346.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.