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Finding the Third Proportional to 156,952 and 336,368

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Solution

The third proportional to 156,952 and 336,368 is: 720,879.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,952 : 336,368 = 336,368 : x
  2. Step 2: Convert to fraction form
    156,952/336,368 = 336,368/x
  3. Step 3: Cross multiply
    156,952x = 336,368 × 336,368
  4. Step 4: Simplify right side
    156,952x = 113,143,431,424
  5. Step 5: Solve for x
    x = 113,143,431,424/156,952
  6. Step 6: Final answer
    x = 720,879.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.