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Finding the Third Proportional to 156,941 and 348,753

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Solution

The third proportional to 156,941 and 348,753 is: 774,996.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,941 : 348,753 = 348,753 : x
  2. Step 2: Convert to fraction form
    156,941/348,753 = 348,753/x
  3. Step 3: Cross multiply
    156,941x = 348,753 × 348,753
  4. Step 4: Simplify right side
    156,941x = 121,628,655,009
  5. Step 5: Solve for x
    x = 121,628,655,009/156,941
  6. Step 6: Final answer
    x = 774,996.05

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.