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Finding the Third Proportional to 156,078 and 341,892

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Solution

The third proportional to 156,078 and 341,892 is: 748,921.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,078 : 341,892 = 341,892 : x
  2. Step 2: Convert to fraction form
    156,078/341,892 = 341,892/x
  3. Step 3: Cross multiply
    156,078x = 341,892 × 341,892
  4. Step 4: Simplify right side
    156,078x = 116,890,139,664
  5. Step 5: Solve for x
    x = 116,890,139,664/156,078
  6. Step 6: Final answer
    x = 748,921.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.