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Finding the Third Proportional to 241,663.50 and 355,093.50

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Solution

The third proportional to 241,663.50 and 355,093.50 is: 521,764.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,663.50 : 355,093.50 = 355,093.50 : x
  2. Step 2: Convert to fraction form
    241,663.50/355,093.50 = 355,093.50/x
  3. Step 3: Cross multiply
    241,663.50x = 355,093.50 × 355,093.50
  4. Step 4: Simplify right side
    241,663.50x = 126,091,393,742.25
  5. Step 5: Solve for x
    x = 126,091,393,742.25/241,663.50
  6. Step 6: Final answer
    x = 521,764.33

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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.