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Finding the Third Proportional to 246,780 and 334,416

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Solution

The third proportional to 246,780 and 334,416 is: 453,173.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,780 : 334,416 = 334,416 : x
  2. Step 2: Convert to fraction form
    246,780/334,416 = 334,416/x
  3. Step 3: Cross multiply
    246,780x = 334,416 × 334,416
  4. Step 4: Simplify right side
    246,780x = 111,834,061,056
  5. Step 5: Solve for x
    x = 111,834,061,056/246,780
  6. Step 6: Final answer
    x = 453,173.11

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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.