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Finding the Third Proportional to 162,200 and 348,374

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Solution

The third proportional to 162,200 and 348,374 is: 748,239.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,200 : 348,374 = 348,374 : x
  2. Step 2: Convert to fraction form
    162,200/348,374 = 348,374/x
  3. Step 3: Cross multiply
    162,200x = 348,374 × 348,374
  4. Step 4: Simplify right side
    162,200x = 121,364,443,876
  5. Step 5: Solve for x
    x = 121,364,443,876/162,200
  6. Step 6: Final answer
    x = 748,239.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.