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Finding the Third Proportional to 131,776 and 289,794

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Solution

The third proportional to 131,776 and 289,794 is: 637,297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,776 : 289,794 = 289,794 : x
  2. Step 2: Convert to fraction form
    131,776/289,794 = 289,794/x
  3. Step 3: Cross multiply
    131,776x = 289,794 × 289,794
  4. Step 4: Simplify right side
    131,776x = 83,980,562,436
  5. Step 5: Solve for x
    x = 83,980,562,436/131,776
  6. Step 6: Final answer
    x = 637,297.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.