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Finding the Third Proportional to 226,218 and 497,145

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Solution

The third proportional to 226,218 and 497,145 is: 1,092,544.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,218 : 497,145 = 497,145 : x
  2. Step 2: Convert to fraction form
    226,218/497,145 = 497,145/x
  3. Step 3: Cross multiply
    226,218x = 497,145 × 497,145
  4. Step 4: Simplify right side
    226,218x = 247,153,151,025
  5. Step 5: Solve for x
    x = 247,153,151,025/226,218
  6. Step 6: Final answer
    x = 1,092,544.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.