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Finding the Third Proportional to 162,202 and 348,378

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Solution

The third proportional to 162,202 and 348,378 is: 748,247.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,202 : 348,378 = 348,378 : x
  2. Step 2: Convert to fraction form
    162,202/348,378 = 348,378/x
  3. Step 3: Cross multiply
    162,202x = 348,378 × 348,378
  4. Step 4: Simplify right side
    162,202x = 121,367,230,884
  5. Step 5: Solve for x
    x = 121,367,230,884/162,202
  6. Step 6: Final answer
    x = 748,247.44

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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.