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Finding the Third Proportional to 156,152.25 and 233,799.75

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Solution

The third proportional to 156,152.25 and 233,799.75 is: 350,057.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,152.25 : 233,799.75 = 233,799.75 : x
  2. Step 2: Convert to fraction form
    156,152.25/233,799.75 = 233,799.75/x
  3. Step 3: Cross multiply
    156,152.25x = 233,799.75 × 233,799.75
  4. Step 4: Simplify right side
    156,152.25x = 54,662,323,100.06
  5. Step 5: Solve for x
    x = 54,662,323,100.06/156,152.25
  6. Step 6: Final answer
    x = 350,057.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.