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Finding the Third Proportional to 246,215 and 369,566

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Solution

The third proportional to 246,215 and 369,566 is: 554,714.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,215 : 369,566 = 369,566 : x
  2. Step 2: Convert to fraction form
    246,215/369,566 = 369,566/x
  3. Step 3: Cross multiply
    246,215x = 369,566 × 369,566
  4. Step 4: Simplify right side
    246,215x = 136,579,028,356
  5. Step 5: Solve for x
    x = 136,579,028,356/246,215
  6. Step 6: Final answer
    x = 554,714.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.