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Finding the Third Proportional to 156,988 and 341,997

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Solution

The third proportional to 156,988 and 341,997 is: 745,037.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,988 : 341,997 = 341,997 : x
  2. Step 2: Convert to fraction form
    156,988/341,997 = 341,997/x
  3. Step 3: Cross multiply
    156,988x = 341,997 × 341,997
  4. Step 4: Simplify right side
    156,988x = 116,961,948,009
  5. Step 5: Solve for x
    x = 116,961,948,009/156,988
  6. Step 6: Final answer
    x = 745,037.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.