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Finding the Third Proportional to 156,527.25 and 233,865.75

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Solution

The third proportional to 156,527.25 and 233,865.75 is: 349,416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,527.25 : 233,865.75 = 233,865.75 : x
  2. Step 2: Convert to fraction form
    156,527.25/233,865.75 = 233,865.75/x
  3. Step 3: Cross multiply
    156,527.25x = 233,865.75 × 233,865.75
  4. Step 4: Simplify right side
    156,527.25x = 54,693,189,023.06
  5. Step 5: Solve for x
    x = 54,693,189,023.06/156,527.25
  6. Step 6: Final answer
    x = 349,416.41

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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.