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Finding the Third Proportional to 131,466 and 214,648

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Solution

The third proportional to 131,466 and 214,648 is: 350,461.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,466 : 214,648 = 214,648 : x
  2. Step 2: Convert to fraction form
    131,466/214,648 = 214,648/x
  3. Step 3: Cross multiply
    131,466x = 214,648 × 214,648
  4. Step 4: Simplify right side
    131,466x = 46,073,763,904
  5. Step 5: Solve for x
    x = 46,073,763,904/131,466
  6. Step 6: Final answer
    x = 350,461.44

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.