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Finding the Third Proportional to 156,161 and 247,032

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Solution

The third proportional to 156,161 and 247,032 is: 390,781.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,161 : 247,032 = 247,032 : x
  2. Step 2: Convert to fraction form
    156,161/247,032 = 247,032/x
  3. Step 3: Cross multiply
    156,161x = 247,032 × 247,032
  4. Step 4: Simplify right side
    156,161x = 61,024,809,024
  5. Step 5: Solve for x
    x = 61,024,809,024/156,161
  6. Step 6: Final answer
    x = 390,781.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.