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Finding the Third Proportional to 131,088 and 283,056

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Solution

The third proportional to 131,088 and 283,056 is: 611,197.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,088 : 283,056 = 283,056 : x
  2. Step 2: Convert to fraction form
    131,088/283,056 = 283,056/x
  3. Step 3: Cross multiply
    131,088x = 283,056 × 283,056
  4. Step 4: Simplify right side
    131,088x = 80,120,699,136
  5. Step 5: Solve for x
    x = 80,120,699,136/131,088
  6. Step 6: Final answer
    x = 611,197.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.