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Finding the Third Proportional to 194,752 and 409,182

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Solution

The third proportional to 194,752 and 409,182 is: 859,708.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,752 : 409,182 = 409,182 : x
  2. Step 2: Convert to fraction form
    194,752/409,182 = 409,182/x
  3. Step 3: Cross multiply
    194,752x = 409,182 × 409,182
  4. Step 4: Simplify right side
    194,752x = 167,429,909,124
  5. Step 5: Solve for x
    x = 167,429,909,124/194,752
  6. Step 6: Final answer
    x = 859,708.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.