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Finding the Third Proportional to 246,656 and 334,220

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Solution

The third proportional to 246,656 and 334,220 is: 452,869.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,656 : 334,220 = 334,220 : x
  2. Step 2: Convert to fraction form
    246,656/334,220 = 334,220/x
  3. Step 3: Cross multiply
    246,656x = 334,220 × 334,220
  4. Step 4: Simplify right side
    246,656x = 111,703,008,400
  5. Step 5: Solve for x
    x = 111,703,008,400/246,656
  6. Step 6: Final answer
    x = 452,869.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.