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Finding the Third Proportional to 75,416 and 165,330

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Solution

The third proportional to 75,416 and 165,330 is: 362,443.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,416 : 165,330 = 165,330 : x
  2. Step 2: Convert to fraction form
    75,416/165,330 = 165,330/x
  3. Step 3: Cross multiply
    75,416x = 165,330 × 165,330
  4. Step 4: Simplify right side
    75,416x = 27,334,008,900
  5. Step 5: Solve for x
    x = 27,334,008,900/75,416
  6. Step 6: Final answer
    x = 362,443.10

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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.