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Finding the Third Proportional to 156,746 and 238,787

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Solution

The third proportional to 156,746 and 238,787 is: 363,768.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,746 : 238,787 = 238,787 : x
  2. Step 2: Convert to fraction form
    156,746/238,787 = 238,787/x
  3. Step 3: Cross multiply
    156,746x = 238,787 × 238,787
  4. Step 4: Simplify right side
    156,746x = 57,019,231,369
  5. Step 5: Solve for x
    x = 57,019,231,369/156,746
  6. Step 6: Final answer
    x = 363,768.33

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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.