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Finding the Third Proportional to 226,729 and 468,146

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Solution

The third proportional to 226,729 and 468,146 is: 966,619.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,729 : 468,146 = 468,146 : x
  2. Step 2: Convert to fraction form
    226,729/468,146 = 468,146/x
  3. Step 3: Cross multiply
    226,729x = 468,146 × 468,146
  4. Step 4: Simplify right side
    226,729x = 219,160,677,316
  5. Step 5: Solve for x
    x = 219,160,677,316/226,729
  6. Step 6: Final answer
    x = 966,619.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.