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Finding the Third Proportional to 100,399.50 and 236,175.75

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Solution

The third proportional to 100,399.50 and 236,175.75 is: 555,570.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,399.50 : 236,175.75 = 236,175.75 : x
  2. Step 2: Convert to fraction form
    100,399.50/236,175.75 = 236,175.75/x
  3. Step 3: Cross multiply
    100,399.50x = 236,175.75 × 236,175.75
  4. Step 4: Simplify right side
    100,399.50x = 55,778,984,888.06
  5. Step 5: Solve for x
    x = 55,778,984,888.06/100,399.50
  6. Step 6: Final answer
    x = 555,570.35

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.