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Finding the Third Proportional to 84,014 and 183,436

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Solution

The third proportional to 84,014 and 183,436 is: 400,513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,014 : 183,436 = 183,436 : x
  2. Step 2: Convert to fraction form
    84,014/183,436 = 183,436/x
  3. Step 3: Cross multiply
    84,014x = 183,436 × 183,436
  4. Step 4: Simplify right side
    84,014x = 33,648,766,096
  5. Step 5: Solve for x
    x = 33,648,766,096/84,014
  6. Step 6: Final answer
    x = 400,513.80

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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.