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Finding the Third Proportional to 246 and 452

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Solution

The third proportional to 246 and 452 is: 830.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    246 : 452 = 452 : x
  2. Step 2: Convert to fraction form
    246/452 = 452/x
  3. Step 3: Cross multiply
    246x = 452 × 452
  4. Step 4: Simplify right side
    246x = 204,304
  5. Step 5: Solve for x
    x = 204,304/246
  6. Step 6: Final answer
    x = 830.50

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.