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Finding the Third Proportional to 191,704 and 411,164

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Solution

The third proportional to 191,704 and 411,164 is: 881,858.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,704 : 411,164 = 411,164 : x
  2. Step 2: Convert to fraction form
    191,704/411,164 = 411,164/x
  3. Step 3: Cross multiply
    191,704x = 411,164 × 411,164
  4. Step 4: Simplify right side
    191,704x = 169,055,834,896
  5. Step 5: Solve for x
    x = 169,055,834,896/191,704
  6. Step 6: Final answer
    x = 881,858.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.