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Finding the Third Proportional to 201,158 and 303,788

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Solution

The third proportional to 201,158 and 303,788 is: 458,779.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,158 : 303,788 = 303,788 : x
  2. Step 2: Convert to fraction form
    201,158/303,788 = 303,788/x
  3. Step 3: Cross multiply
    201,158x = 303,788 × 303,788
  4. Step 4: Simplify right side
    201,158x = 92,287,148,944
  5. Step 5: Solve for x
    x = 92,287,148,944/201,158
  6. Step 6: Final answer
    x = 458,779.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.