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Finding the Third Proportional to 186,255 and 389,373.75

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Solution

The third proportional to 186,255 and 389,373.75 is: 814,001.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,255 : 389,373.75 = 389,373.75 : x
  2. Step 2: Convert to fraction form
    186,255/389,373.75 = 389,373.75/x
  3. Step 3: Cross multiply
    186,255x = 389,373.75 × 389,373.75
  4. Step 4: Simplify right side
    186,255x = 151,611,917,189.06
  5. Step 5: Solve for x
    x = 151,611,917,189.06/186,255
  6. Step 6: Final answer
    x = 814,001.86

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.