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Finding the Third Proportional to 183,906 and 286,756

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Solution

The third proportional to 183,906 and 286,756 is: 447,125.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,906 : 286,756 = 286,756 : x
  2. Step 2: Convert to fraction form
    183,906/286,756 = 286,756/x
  3. Step 3: Cross multiply
    183,906x = 286,756 × 286,756
  4. Step 4: Simplify right side
    183,906x = 82,229,003,536
  5. Step 5: Solve for x
    x = 82,229,003,536/183,906
  6. Step 6: Final answer
    x = 447,125.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.