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Finding the Third Proportional to 202,824 and 322,066.13

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Solution

The third proportional to 202,824 and 322,066.13 is: 511,411.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,824 : 322,066.13 = 322,066.13 : x
  2. Step 2: Convert to fraction form
    202,824/322,066.13 = 322,066.13/x
  3. Step 3: Cross multiply
    202,824x = 322,066.13 × 322,066.13
  4. Step 4: Simplify right side
    202,824x = 103,726,588,872.52
  5. Step 5: Solve for x
    x = 103,726,588,872.52/202,824
  6. Step 6: Final answer
    x = 511,411.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.