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Finding the Third Proportional to 226,710 and 333,153

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Solution

The third proportional to 226,710 and 333,153 is: 489,572.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,710 : 333,153 = 333,153 : x
  2. Step 2: Convert to fraction form
    226,710/333,153 = 333,153/x
  3. Step 3: Cross multiply
    226,710x = 333,153 × 333,153
  4. Step 4: Simplify right side
    226,710x = 110,990,921,409
  5. Step 5: Solve for x
    x = 110,990,921,409/226,710
  6. Step 6: Final answer
    x = 489,572.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.