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Finding the Third Proportional to 191,081 and 413,290

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Solution

The third proportional to 191,081 and 413,290 is: 893,906.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,081 : 413,290 = 413,290 : x
  2. Step 2: Convert to fraction form
    191,081/413,290 = 413,290/x
  3. Step 3: Cross multiply
    191,081x = 413,290 × 413,290
  4. Step 4: Simplify right side
    191,081x = 170,808,624,100
  5. Step 5: Solve for x
    x = 170,808,624,100/191,081
  6. Step 6: Final answer
    x = 893,906.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.