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Finding the Third Proportional to 156,404.50 and 334,949

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Solution

The third proportional to 156,404.50 and 334,949 is: 717,312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,404.50 : 334,949 = 334,949 : x
  2. Step 2: Convert to fraction form
    156,404.50/334,949 = 334,949/x
  3. Step 3: Cross multiply
    156,404.50x = 334,949 × 334,949
  4. Step 4: Simplify right side
    156,404.50x = 112,190,832,601
  5. Step 5: Solve for x
    x = 112,190,832,601/156,404.50
  6. Step 6: Final answer
    x = 717,312.05

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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.