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Finding the Third Proportional to 202,136 and 440,132

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Solution

The third proportional to 202,136 and 440,132 is: 958,345.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,136 : 440,132 = 440,132 : x
  2. Step 2: Convert to fraction form
    202,136/440,132 = 440,132/x
  3. Step 3: Cross multiply
    202,136x = 440,132 × 440,132
  4. Step 4: Simplify right side
    202,136x = 193,716,177,424
  5. Step 5: Solve for x
    x = 193,716,177,424/202,136
  6. Step 6: Final answer
    x = 958,345.75

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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.