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Finding the Third Proportional to 119,904 and 263,136

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Solution

The third proportional to 119,904 and 263,136 is: 577,466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,904 : 263,136 = 263,136 : x
  2. Step 2: Convert to fraction form
    119,904/263,136 = 263,136/x
  3. Step 3: Cross multiply
    119,904x = 263,136 × 263,136
  4. Step 4: Simplify right side
    119,904x = 69,240,554,496
  5. Step 5: Solve for x
    x = 69,240,554,496/119,904
  6. Step 6: Final answer
    x = 577,466.59

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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.