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Finding the Third Proportional to 202,836.66 and 432,820.97

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Solution

The third proportional to 202,836.66 and 432,820.97 is: 923,570.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,836.66 : 432,820.97 = 432,820.97 : x
  2. Step 2: Convert to fraction form
    202,836.66/432,820.97 = 432,820.97/x
  3. Step 3: Cross multiply
    202,836.66x = 432,820.97 × 432,820.97
  4. Step 4: Simplify right side
    202,836.66x = 187,333,990,989.69
  5. Step 5: Solve for x
    x = 187,333,990,989.69/202,836.66
  6. Step 6: Final answer
    x = 923,570.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.