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Finding the Third Proportional to 164,265 and 181,545

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Solution

The third proportional to 164,265 and 181,545 is: 200,642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,265 : 181,545 = 181,545 : x
  2. Step 2: Convert to fraction form
    164,265/181,545 = 181,545/x
  3. Step 3: Cross multiply
    164,265x = 181,545 × 181,545
  4. Step 4: Simplify right side
    164,265x = 32,958,587,025
  5. Step 5: Solve for x
    x = 32,958,587,025/164,265
  6. Step 6: Final answer
    x = 200,642.78

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.