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Finding the Third Proportional to 226,854 and 348,212

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Solution

The third proportional to 226,854 and 348,212 is: 534,491.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,854 : 348,212 = 348,212 : x
  2. Step 2: Convert to fraction form
    226,854/348,212 = 348,212/x
  3. Step 3: Cross multiply
    226,854x = 348,212 × 348,212
  4. Step 4: Simplify right side
    226,854x = 121,251,596,944
  5. Step 5: Solve for x
    x = 121,251,596,944/226,854
  6. Step 6: Final answer
    x = 534,491.77

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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.