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Finding the Third Proportional to 84,506.50 and 183,611

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Solution

The third proportional to 84,506.50 and 183,611 is: 398,939.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,506.50 : 183,611 = 183,611 : x
  2. Step 2: Convert to fraction form
    84,506.50/183,611 = 183,611/x
  3. Step 3: Cross multiply
    84,506.50x = 183,611 × 183,611
  4. Step 4: Simplify right side
    84,506.50x = 33,712,999,321
  5. Step 5: Solve for x
    x = 33,712,999,321/84,506.50
  6. Step 6: Final answer
    x = 398,939.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.