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Finding the Third Proportional to 156,624 and 305,364

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Solution

The third proportional to 156,624 and 305,364 is: 595,356.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,624 : 305,364 = 305,364 : x
  2. Step 2: Convert to fraction form
    156,624/305,364 = 305,364/x
  3. Step 3: Cross multiply
    156,624x = 305,364 × 305,364
  4. Step 4: Simplify right side
    156,624x = 93,247,172,496
  5. Step 5: Solve for x
    x = 93,247,172,496/156,624
  6. Step 6: Final answer
    x = 595,356.86

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.