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Finding the Third Proportional to 246,651 and 334,215

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Solution

The third proportional to 246,651 and 334,215 is: 452,865.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,651 : 334,215 = 334,215 : x
  2. Step 2: Convert to fraction form
    246,651/334,215 = 334,215/x
  3. Step 3: Cross multiply
    246,651x = 334,215 × 334,215
  4. Step 4: Simplify right side
    246,651x = 111,699,666,225
  5. Step 5: Solve for x
    x = 111,699,666,225/246,651
  6. Step 6: Final answer
    x = 452,865.25

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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.