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Finding the Third Proportional to 156,267.75 and 233,372.75

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Solution

The third proportional to 156,267.75 and 233,372.75 is: 348,522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,267.75 : 233,372.75 = 233,372.75 : x
  2. Step 2: Convert to fraction form
    156,267.75/233,372.75 = 233,372.75/x
  3. Step 3: Cross multiply
    156,267.75x = 233,372.75 × 233,372.75
  4. Step 4: Simplify right side
    156,267.75x = 54,462,840,442.56
  5. Step 5: Solve for x
    x = 54,462,840,442.56/156,267.75
  6. Step 6: Final answer
    x = 348,522.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.