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Finding the Third Proportional to 152,901.75 and 236,170.13

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Solution

The third proportional to 152,901.75 and 236,170.13 is: 364,785.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,901.75 : 236,170.13 = 236,170.13 : x
  2. Step 2: Convert to fraction form
    152,901.75/236,170.13 = 236,170.13/x
  3. Step 3: Cross multiply
    152,901.75x = 236,170.13 × 236,170.13
  4. Step 4: Simplify right side
    152,901.75x = 55,776,327,942.52
  5. Step 5: Solve for x
    x = 55,776,327,942.52/152,901.75
  6. Step 6: Final answer
    x = 364,785.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.