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Finding the Third Proportional to 117,136 and 255,472

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Solution

The third proportional to 117,136 and 255,472 is: 557,180.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,136 : 255,472 = 255,472 : x
  2. Step 2: Convert to fraction form
    117,136/255,472 = 255,472/x
  3. Step 3: Cross multiply
    117,136x = 255,472 × 255,472
  4. Step 4: Simplify right side
    117,136x = 65,265,942,784
  5. Step 5: Solve for x
    x = 65,265,942,784/117,136
  6. Step 6: Final answer
    x = 557,180.91

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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.