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Finding the Third Proportional to 246,348 and 382,194

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Solution

The third proportional to 246,348 and 382,194 is: 592,950.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,348 : 382,194 = 382,194 : x
  2. Step 2: Convert to fraction form
    246,348/382,194 = 382,194/x
  3. Step 3: Cross multiply
    246,348x = 382,194 × 382,194
  4. Step 4: Simplify right side
    246,348x = 146,072,253,636
  5. Step 5: Solve for x
    x = 146,072,253,636/246,348
  6. Step 6: Final answer
    x = 592,950.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.