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Finding the Third Proportional to 226,948 and 530,098

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Solution

The third proportional to 226,948 and 530,098 is: 1,238,186.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,948 : 530,098 = 530,098 : x
  2. Step 2: Convert to fraction form
    226,948/530,098 = 530,098/x
  3. Step 3: Cross multiply
    226,948x = 530,098 × 530,098
  4. Step 4: Simplify right side
    226,948x = 281,003,889,604
  5. Step 5: Solve for x
    x = 281,003,889,604/226,948
  6. Step 6: Final answer
    x = 1,238,186.23

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.