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Finding the Third Proportional to 226,724 and 369,610

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Solution

The third proportional to 226,724 and 369,610 is: 602,545.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,724 : 369,610 = 369,610 : x
  2. Step 2: Convert to fraction form
    226,724/369,610 = 369,610/x
  3. Step 3: Cross multiply
    226,724x = 369,610 × 369,610
  4. Step 4: Simplify right side
    226,724x = 136,611,552,100
  5. Step 5: Solve for x
    x = 136,611,552,100/226,724
  6. Step 6: Final answer
    x = 602,545.62

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.