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Finding the Third Proportional to 112,984 and 223,136

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Solution

The third proportional to 112,984 and 223,136 is: 440,678.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,984 : 223,136 = 223,136 : x
  2. Step 2: Convert to fraction form
    112,984/223,136 = 223,136/x
  3. Step 3: Cross multiply
    112,984x = 223,136 × 223,136
  4. Step 4: Simplify right side
    112,984x = 49,789,674,496
  5. Step 5: Solve for x
    x = 49,789,674,496/112,984
  6. Step 6: Final answer
    x = 440,678.99

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.