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Finding the Third Proportional to 186,770 and 431,933

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Solution

The third proportional to 186,770 and 431,933 is: 998,908.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,770 : 431,933 = 431,933 : x
  2. Step 2: Convert to fraction form
    186,770/431,933 = 431,933/x
  3. Step 3: Cross multiply
    186,770x = 431,933 × 431,933
  4. Step 4: Simplify right side
    186,770x = 186,566,116,489
  5. Step 5: Solve for x
    x = 186,566,116,489/186,770
  6. Step 6: Final answer
    x = 998,908.37

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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.