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Finding the Third Proportional to 162,395 and 354,301

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Solution

The third proportional to 162,395 and 354,301 is: 772,986.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,395 : 354,301 = 354,301 : x
  2. Step 2: Convert to fraction form
    162,395/354,301 = 354,301/x
  3. Step 3: Cross multiply
    162,395x = 354,301 × 354,301
  4. Step 4: Simplify right side
    162,395x = 125,529,198,601
  5. Step 5: Solve for x
    x = 125,529,198,601/162,395
  6. Step 6: Final answer
    x = 772,986.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.