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Finding the Third Proportional to 241,207.50 and 354,583.50

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Solution

The third proportional to 241,207.50 and 354,583.50 is: 521,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,207.50 : 354,583.50 = 354,583.50 : x
  2. Step 2: Convert to fraction form
    241,207.50/354,583.50 = 354,583.50/x
  3. Step 3: Cross multiply
    241,207.50x = 354,583.50 × 354,583.50
  4. Step 4: Simplify right side
    241,207.50x = 125,729,458,472.25
  5. Step 5: Solve for x
    x = 125,729,458,472.25/241,207.50
  6. Step 6: Final answer
    x = 521,250.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.