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Finding the Third Proportional to 226,856 and 348,216

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Solution

The third proportional to 226,856 and 348,216 is: 534,499.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,856 : 348,216 = 348,216 : x
  2. Step 2: Convert to fraction form
    226,856/348,216 = 348,216/x
  3. Step 3: Cross multiply
    226,856x = 348,216 × 348,216
  4. Step 4: Simplify right side
    226,856x = 121,254,382,656
  5. Step 5: Solve for x
    x = 121,254,382,656/226,856
  6. Step 6: Final answer
    x = 534,499.34

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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.