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Finding the Third Proportional to 156,096 and 335,862

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Solution

The third proportional to 156,096 and 335,862 is: 722,653.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,096 : 335,862 = 335,862 : x
  2. Step 2: Convert to fraction form
    156,096/335,862 = 335,862/x
  3. Step 3: Cross multiply
    156,096x = 335,862 × 335,862
  4. Step 4: Simplify right side
    156,096x = 112,803,283,044
  5. Step 5: Solve for x
    x = 112,803,283,044/156,096
  6. Step 6: Final answer
    x = 722,653.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.