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Finding the Third Proportional to 74,501 and 162,302

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Solution

The third proportional to 74,501 and 162,302 is: 353,578.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,501 : 162,302 = 162,302 : x
  2. Step 2: Convert to fraction form
    74,501/162,302 = 162,302/x
  3. Step 3: Cross multiply
    74,501x = 162,302 × 162,302
  4. Step 4: Simplify right side
    74,501x = 26,341,939,204
  5. Step 5: Solve for x
    x = 26,341,939,204/74,501
  6. Step 6: Final answer
    x = 353,578.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.