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Finding the Third Proportional to 156,051 and 239,913

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Solution

The third proportional to 156,051 and 239,913 is: 368,842.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,051 : 239,913 = 239,913 : x
  2. Step 2: Convert to fraction form
    156,051/239,913 = 239,913/x
  3. Step 3: Cross multiply
    156,051x = 239,913 × 239,913
  4. Step 4: Simplify right side
    156,051x = 57,558,247,569
  5. Step 5: Solve for x
    x = 57,558,247,569/156,051
  6. Step 6: Final answer
    x = 368,842.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.