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Finding the Third Proportional to 226,358 and 331,518

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Solution

The third proportional to 226,358 and 331,518 is: 485,532.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,358 : 331,518 = 331,518 : x
  2. Step 2: Convert to fraction form
    226,358/331,518 = 331,518/x
  3. Step 3: Cross multiply
    226,358x = 331,518 × 331,518
  4. Step 4: Simplify right side
    226,358x = 109,904,184,324
  5. Step 5: Solve for x
    x = 109,904,184,324/226,358
  6. Step 6: Final answer
    x = 485,532.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.