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Finding the Third Proportional to 186,780 and 285,642

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Solution

The third proportional to 186,780 and 285,642 is: 436,831.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,780 : 285,642 = 285,642 : x
  2. Step 2: Convert to fraction form
    186,780/285,642 = 285,642/x
  3. Step 3: Cross multiply
    186,780x = 285,642 × 285,642
  4. Step 4: Simplify right side
    186,780x = 81,591,352,164
  5. Step 5: Solve for x
    x = 81,591,352,164/186,780
  6. Step 6: Final answer
    x = 436,831.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.