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Finding the Third Proportional to 151,447.88 and 235,161.56

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Solution

The third proportional to 151,447.88 and 235,161.56 is: 365,148.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,447.88 : 235,161.56 = 235,161.56 : x
  2. Step 2: Convert to fraction form
    151,447.88/235,161.56 = 235,161.56/x
  3. Step 3: Cross multiply
    151,447.88x = 235,161.56 × 235,161.56
  4. Step 4: Simplify right side
    151,447.88x = 55,300,960,477.44
  5. Step 5: Solve for x
    x = 55,300,960,477.44/151,447.88
  6. Step 6: Final answer
    x = 365,148.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.