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Finding the Third Proportional to 186,772 and 431,938

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Solution

The third proportional to 186,772 and 431,938 is: 998,920.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,772 : 431,938 = 431,938 : x
  2. Step 2: Convert to fraction form
    186,772/431,938 = 431,938/x
  3. Step 3: Cross multiply
    186,772x = 431,938 × 431,938
  4. Step 4: Simplify right side
    186,772x = 186,570,435,844
  5. Step 5: Solve for x
    x = 186,570,435,844/186,772
  6. Step 6: Final answer
    x = 998,920.80

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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.