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Finding the Third Proportional to 186,256 and 390,760

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Solution

The third proportional to 186,256 and 390,760 is: 819,803.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,256 : 390,760 = 390,760 : x
  2. Step 2: Convert to fraction form
    186,256/390,760 = 390,760/x
  3. Step 3: Cross multiply
    186,256x = 390,760 × 390,760
  4. Step 4: Simplify right side
    186,256x = 152,693,377,600
  5. Step 5: Solve for x
    x = 152,693,377,600/186,256
  6. Step 6: Final answer
    x = 819,803.81

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.