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Finding the Third Proportional to 156,926 and 336,316

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Solution

The third proportional to 156,926 and 336,316 is: 720,775.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,926 : 336,316 = 336,316 : x
  2. Step 2: Convert to fraction form
    156,926/336,316 = 336,316/x
  3. Step 3: Cross multiply
    156,926x = 336,316 × 336,316
  4. Step 4: Simplify right side
    156,926x = 113,108,451,856
  5. Step 5: Solve for x
    x = 113,108,451,856/156,926
  6. Step 6: Final answer
    x = 720,775.73

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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.