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Finding the Third Proportional to 230,129 and 502,095

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Solution

The third proportional to 230,129 and 502,095 is: 1,095,469.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,129 : 502,095 = 502,095 : x
  2. Step 2: Convert to fraction form
    230,129/502,095 = 502,095/x
  3. Step 3: Cross multiply
    230,129x = 502,095 × 502,095
  4. Step 4: Simplify right side
    230,129x = 252,099,389,025
  5. Step 5: Solve for x
    x = 252,099,389,025/230,129
  6. Step 6: Final answer
    x = 1,095,469.88

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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.