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Finding the Third Proportional to 156,006 and 319,404.52

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Solution

The third proportional to 156,006 and 319,404.52 is: 653,944.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,006 : 319,404.52 = 319,404.52 : x
  2. Step 2: Convert to fraction form
    156,006/319,404.52 = 319,404.52/x
  3. Step 3: Cross multiply
    156,006x = 319,404.52 × 319,404.52
  4. Step 4: Simplify right side
    156,006x = 102,019,244,601.64
  5. Step 5: Solve for x
    x = 102,019,244,601.64/156,006
  6. Step 6: Final answer
    x = 653,944.36

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.