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Finding the Third Proportional to 186,776 and 431,948

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Solution

The third proportional to 186,776 and 431,948 is: 998,945.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,776 : 431,948 = 431,948 : x
  2. Step 2: Convert to fraction form
    186,776/431,948 = 431,948/x
  3. Step 3: Cross multiply
    186,776x = 431,948 × 431,948
  4. Step 4: Simplify right side
    186,776x = 186,579,074,704
  5. Step 5: Solve for x
    x = 186,579,074,704/186,776
  6. Step 6: Final answer
    x = 998,945.66

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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.