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Finding the Third Proportional to 162,746 and 246,414

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Solution

The third proportional to 162,746 and 246,414 is: 373,095.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,746 : 246,414 = 246,414 : x
  2. Step 2: Convert to fraction form
    162,746/246,414 = 246,414/x
  3. Step 3: Cross multiply
    162,746x = 246,414 × 246,414
  4. Step 4: Simplify right side
    162,746x = 60,719,859,396
  5. Step 5: Solve for x
    x = 60,719,859,396/162,746
  6. Step 6: Final answer
    x = 373,095.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.