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Finding the Third Proportional to 191,200 and 415,568

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Solution

The third proportional to 191,200 and 415,568 is: 903,225.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,200 : 415,568 = 415,568 : x
  2. Step 2: Convert to fraction form
    191,200/415,568 = 415,568/x
  3. Step 3: Cross multiply
    191,200x = 415,568 × 415,568
  4. Step 4: Simplify right side
    191,200x = 172,696,762,624
  5. Step 5: Solve for x
    x = 172,696,762,624/191,200
  6. Step 6: Final answer
    x = 903,225.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.