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Finding the Third Proportional to 111,136 and 243,353

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Solution

The third proportional to 111,136 and 243,353 is: 532,866.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,136 : 243,353 = 243,353 : x
  2. Step 2: Convert to fraction form
    111,136/243,353 = 243,353/x
  3. Step 3: Cross multiply
    111,136x = 243,353 × 243,353
  4. Step 4: Simplify right side
    111,136x = 59,220,682,609
  5. Step 5: Solve for x
    x = 59,220,682,609/111,136
  6. Step 6: Final answer
    x = 532,866.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.