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Finding the Third Proportional to 230,102 and 502,042

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Solution

The third proportional to 230,102 and 502,042 is: 1,095,367.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,102 : 502,042 = 502,042 : x
  2. Step 2: Convert to fraction form
    230,102/502,042 = 502,042/x
  3. Step 3: Cross multiply
    230,102x = 502,042 × 502,042
  4. Step 4: Simplify right side
    230,102x = 252,046,169,764
  5. Step 5: Solve for x
    x = 252,046,169,764/230,102
  6. Step 6: Final answer
    x = 1,095,367.14

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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.