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Finding the Third Proportional to 186,768 and 431,928

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Solution

The third proportional to 186,768 and 431,928 is: 998,895.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,768 : 431,928 = 431,928 : x
  2. Step 2: Convert to fraction form
    186,768/431,928 = 431,928/x
  3. Step 3: Cross multiply
    186,768x = 431,928 × 431,928
  4. Step 4: Simplify right side
    186,768x = 186,561,797,184
  5. Step 5: Solve for x
    x = 186,561,797,184/186,768
  6. Step 6: Final answer
    x = 998,895.94

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.