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Finding the Third Proportional to 82,684.13 and 181,315.13

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Solution

The third proportional to 82,684.13 and 181,315.13 is: 397,599.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,684.13 : 181,315.13 = 181,315.13 : x
  2. Step 2: Convert to fraction form
    82,684.13/181,315.13 = 181,315.13/x
  3. Step 3: Cross multiply
    82,684.13x = 181,315.13 × 181,315.13
  4. Step 4: Simplify right side
    82,684.13x = 32,875,174,553.77
  5. Step 5: Solve for x
    x = 32,875,174,553.77/82,684.13
  6. Step 6: Final answer
    x = 397,599.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.