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Finding the Third Proportional to 110,845 and 243,136

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Solution

The third proportional to 110,845 and 243,136 is: 533,313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,845 : 243,136 = 243,136 : x
  2. Step 2: Convert to fraction form
    110,845/243,136 = 243,136/x
  3. Step 3: Cross multiply
    110,845x = 243,136 × 243,136
  4. Step 4: Simplify right side
    110,845x = 59,115,114,496
  5. Step 5: Solve for x
    x = 59,115,114,496/110,845
  6. Step 6: Final answer
    x = 533,313.32

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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.