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Finding the Third Proportional to 82,320.75 and 168,225.75

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Solution

The third proportional to 82,320.75 and 168,225.75 is: 343,776.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,320.75 : 168,225.75 = 168,225.75 : x
  2. Step 2: Convert to fraction form
    82,320.75/168,225.75 = 168,225.75/x
  3. Step 3: Cross multiply
    82,320.75x = 168,225.75 × 168,225.75
  4. Step 4: Simplify right side
    82,320.75x = 28,299,902,963.06
  5. Step 5: Solve for x
    x = 28,299,902,963.06/82,320.75
  6. Step 6: Final answer
    x = 343,776.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.