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Finding the Third Proportional to 74,416 and 162,504

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Solution

The third proportional to 74,416 and 162,504 is: 354,863.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,416 : 162,504 = 162,504 : x
  2. Step 2: Convert to fraction form
    74,416/162,504 = 162,504/x
  3. Step 3: Cross multiply
    74,416x = 162,504 × 162,504
  4. Step 4: Simplify right side
    74,416x = 26,407,550,016
  5. Step 5: Solve for x
    x = 26,407,550,016/74,416
  6. Step 6: Final answer
    x = 354,863.87

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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.