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Finding the Third Proportional to 73,416.50 and 156,435.25

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Solution

The third proportional to 73,416.50 and 156,435.25 is: 333,330.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,416.50 : 156,435.25 = 156,435.25 : x
  2. Step 2: Convert to fraction form
    73,416.50/156,435.25 = 156,435.25/x
  3. Step 3: Cross multiply
    73,416.50x = 156,435.25 × 156,435.25
  4. Step 4: Simplify right side
    73,416.50x = 24,471,987,442.56
  5. Step 5: Solve for x
    x = 24,471,987,442.56/73,416.50
  6. Step 6: Final answer
    x = 333,330.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.