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Finding the Third Proportional to 192,644 and 255,618

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Solution

The third proportional to 192,644 and 255,618 is: 339,177.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,644 : 255,618 = 255,618 : x
  2. Step 2: Convert to fraction form
    192,644/255,618 = 255,618/x
  3. Step 3: Cross multiply
    192,644x = 255,618 × 255,618
  4. Step 4: Simplify right side
    192,644x = 65,340,561,924
  5. Step 5: Solve for x
    x = 65,340,561,924/192,644
  6. Step 6: Final answer
    x = 339,177.77

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.