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Finding the Third Proportional to 156,081 and 341,898

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Solution

The third proportional to 156,081 and 341,898 is: 748,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,081 : 341,898 = 341,898 : x
  2. Step 2: Convert to fraction form
    156,081/341,898 = 341,898/x
  3. Step 3: Cross multiply
    156,081x = 341,898 × 341,898
  4. Step 4: Simplify right side
    156,081x = 116,894,242,404
  5. Step 5: Solve for x
    x = 116,894,242,404/156,081
  6. Step 6: Final answer
    x = 748,933.20

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Why These Related Problems?

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