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Finding the Third Proportional to 235,948 and 505,110

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Solution

The third proportional to 235,948 and 505,110 is: 1,081,323.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,948 : 505,110 = 505,110 : x
  2. Step 2: Convert to fraction form
    235,948/505,110 = 505,110/x
  3. Step 3: Cross multiply
    235,948x = 505,110 × 505,110
  4. Step 4: Simplify right side
    235,948x = 255,136,112,100
  5. Step 5: Solve for x
    x = 255,136,112,100/235,948
  6. Step 6: Final answer
    x = 1,081,323.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.