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Finding the Third Proportional to 156,741 and 238,783

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Solution

The third proportional to 156,741 and 238,783 is: 363,767.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,741 : 238,783 = 238,783 : x
  2. Step 2: Convert to fraction form
    156,741/238,783 = 238,783/x
  3. Step 3: Cross multiply
    156,741x = 238,783 × 238,783
  4. Step 4: Simplify right side
    156,741x = 57,017,321,089
  5. Step 5: Solve for x
    x = 57,017,321,089/156,741
  6. Step 6: Final answer
    x = 363,767.75

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.