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Finding the Third Proportional to 156,780 and 242,838

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Solution

The third proportional to 156,780 and 242,838 is: 376,134.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,780 : 242,838 = 242,838 : x
  2. Step 2: Convert to fraction form
    156,780/242,838 = 242,838/x
  3. Step 3: Cross multiply
    156,780x = 242,838 × 242,838
  4. Step 4: Simplify right side
    156,780x = 58,970,294,244
  5. Step 5: Solve for x
    x = 58,970,294,244/156,780
  6. Step 6: Final answer
    x = 376,134.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.