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Finding the Third Proportional to 74,505 and 162,933

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Solution

The third proportional to 74,505 and 162,933 is: 356,313.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,505 : 162,933 = 162,933 : x
  2. Step 2: Convert to fraction form
    74,505/162,933 = 162,933/x
  3. Step 3: Cross multiply
    74,505x = 162,933 × 162,933
  4. Step 4: Simplify right side
    74,505x = 26,547,162,489
  5. Step 5: Solve for x
    x = 26,547,162,489/74,505
  6. Step 6: Final answer
    x = 356,313.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.