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Finding the Third Proportional to 156,922.31 and 339,916.50

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Solution

The third proportional to 156,922.31 and 339,916.50 is: 736,308.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,922.31 : 339,916.50 = 339,916.50 : x
  2. Step 2: Convert to fraction form
    156,922.31/339,916.50 = 339,916.50/x
  3. Step 3: Cross multiply
    156,922.31x = 339,916.50 × 339,916.50
  4. Step 4: Simplify right side
    156,922.31x = 115,543,226,972.25
  5. Step 5: Solve for x
    x = 115,543,226,972.25/156,922.31
  6. Step 6: Final answer
    x = 736,308.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.