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Finding the Third Proportional to 202,116 and 440,113

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Solution

The third proportional to 202,116 and 440,113 is: 958,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,116 : 440,113 = 440,113 : x
  2. Step 2: Convert to fraction form
    202,116/440,113 = 440,113/x
  3. Step 3: Cross multiply
    202,116x = 440,113 × 440,113
  4. Step 4: Simplify right side
    202,116x = 193,699,452,769
  5. Step 5: Solve for x
    x = 193,699,452,769/202,116
  6. Step 6: Final answer
    x = 958,357.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.