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Finding the Third Proportional to 156,152 and 335,983

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Solution

The third proportional to 156,152 and 335,983 is: 722,914.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,152 : 335,983 = 335,983 : x
  2. Step 2: Convert to fraction form
    156,152/335,983 = 335,983/x
  3. Step 3: Cross multiply
    156,152x = 335,983 × 335,983
  4. Step 4: Simplify right side
    156,152x = 112,884,576,289
  5. Step 5: Solve for x
    x = 112,884,576,289/156,152
  6. Step 6: Final answer
    x = 722,914.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.