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Finding the Third Proportional to 191,556 and 409,176

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Solution

The third proportional to 191,556 and 409,176 is: 874,026.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,556 : 409,176 = 409,176 : x
  2. Step 2: Convert to fraction form
    191,556/409,176 = 409,176/x
  3. Step 3: Cross multiply
    191,556x = 409,176 × 409,176
  4. Step 4: Simplify right side
    191,556x = 167,424,998,976
  5. Step 5: Solve for x
    x = 167,424,998,976/191,556
  6. Step 6: Final answer
    x = 874,026.39

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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.