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Finding the Third Proportional to 156,147.75 and 233,583.75

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Solution

The third proportional to 156,147.75 and 233,583.75 is: 349,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,147.75 : 233,583.75 = 233,583.75 : x
  2. Step 2: Convert to fraction form
    156,147.75/233,583.75 = 233,583.75/x
  3. Step 3: Cross multiply
    156,147.75x = 233,583.75 × 233,583.75
  4. Step 4: Simplify right side
    156,147.75x = 54,561,368,264.06
  5. Step 5: Solve for x
    x = 54,561,368,264.06/156,147.75
  6. Step 6: Final answer
    x = 349,421.42

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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.