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Finding the Third Proportional to 241,948 and 363,164

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Solution

The third proportional to 241,948 and 363,164 is: 545,109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,948 : 363,164 = 363,164 : x
  2. Step 2: Convert to fraction form
    241,948/363,164 = 363,164/x
  3. Step 3: Cross multiply
    241,948x = 363,164 × 363,164
  4. Step 4: Simplify right side
    241,948x = 131,888,090,896
  5. Step 5: Solve for x
    x = 131,888,090,896/241,948
  6. Step 6: Final answer
    x = 545,109.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.