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Finding the Third Proportional to 156,950 and 336,364

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Solution

The third proportional to 156,950 and 336,364 is: 720,871.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,950 : 336,364 = 336,364 : x
  2. Step 2: Convert to fraction form
    156,950/336,364 = 336,364/x
  3. Step 3: Cross multiply
    156,950x = 336,364 × 336,364
  4. Step 4: Simplify right side
    156,950x = 113,140,740,496
  5. Step 5: Solve for x
    x = 113,140,740,496/156,950
  6. Step 6: Final answer
    x = 720,871.24

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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.