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Finding the Third Proportional to 186,534 and 399,660.75

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Solution

The third proportional to 186,534 and 399,660.75 is: 856,298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,534 : 399,660.75 = 399,660.75 : x
  2. Step 2: Convert to fraction form
    186,534/399,660.75 = 399,660.75/x
  3. Step 3: Cross multiply
    186,534x = 399,660.75 × 399,660.75
  4. Step 4: Simplify right side
    186,534x = 159,728,715,090.56
  5. Step 5: Solve for x
    x = 159,728,715,090.56/186,534
  6. Step 6: Final answer
    x = 856,298.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.