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Finding the Third Proportional to 226,849.50 and 348,204.94

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Solution

The third proportional to 226,849.50 and 348,204.94 is: 534,480.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,849.50 : 348,204.94 = 348,204.94 : x
  2. Step 2: Convert to fraction form
    226,849.50/348,204.94 = 348,204.94/x
  3. Step 3: Cross multiply
    226,849.50x = 348,204.94 × 348,204.94
  4. Step 4: Simplify right side
    226,849.50x = 121,246,678,499.38
  5. Step 5: Solve for x
    x = 121,246,678,499.38/226,849.50
  6. Step 6: Final answer
    x = 534,480.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.