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Finding the Third Proportional to 84,817.13 and 176,611.50

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Solution

The third proportional to 84,817.13 and 176,611.50 is: 367,751.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,817.13 : 176,611.50 = 176,611.50 : x
  2. Step 2: Convert to fraction form
    84,817.13/176,611.50 = 176,611.50/x
  3. Step 3: Cross multiply
    84,817.13x = 176,611.50 × 176,611.50
  4. Step 4: Simplify right side
    84,817.13x = 31,191,621,932.25
  5. Step 5: Solve for x
    x = 31,191,621,932.25/84,817.13
  6. Step 6: Final answer
    x = 367,751.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.