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Finding the Third Proportional to 156,776 and 344,656

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Solution

The third proportional to 156,776 and 344,656 is: 757,690.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,776 : 344,656 = 344,656 : x
  2. Step 2: Convert to fraction form
    156,776/344,656 = 344,656/x
  3. Step 3: Cross multiply
    156,776x = 344,656 × 344,656
  4. Step 4: Simplify right side
    156,776x = 118,787,758,336
  5. Step 5: Solve for x
    x = 118,787,758,336/156,776
  6. Step 6: Final answer
    x = 757,690.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.