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Finding the Third Proportional to 131,827 and 282,336

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Solution

The third proportional to 131,827 and 282,336 is: 604,683.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,827 : 282,336 = 282,336 : x
  2. Step 2: Convert to fraction form
    131,827/282,336 = 282,336/x
  3. Step 3: Cross multiply
    131,827x = 282,336 × 282,336
  4. Step 4: Simplify right side
    131,827x = 79,713,616,896
  5. Step 5: Solve for x
    x = 79,713,616,896/131,827
  6. Step 6: Final answer
    x = 604,683.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.