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Finding the Third Proportional to 152,493 and 235,910.25

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Solution

The third proportional to 152,493 and 235,910.25 is: 364,958.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,493 : 235,910.25 = 235,910.25 : x
  2. Step 2: Convert to fraction form
    152,493/235,910.25 = 235,910.25/x
  3. Step 3: Cross multiply
    152,493x = 235,910.25 × 235,910.25
  4. Step 4: Simplify right side
    152,493x = 55,653,646,055.06
  5. Step 5: Solve for x
    x = 55,653,646,055.06/152,493
  6. Step 6: Final answer
    x = 364,958.69

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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.