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Finding the Third Proportional to 186,975 and 408,208.50

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Solution

The third proportional to 186,975 and 408,208.50 is: 891,211.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,975 : 408,208.50 = 408,208.50 : x
  2. Step 2: Convert to fraction form
    186,975/408,208.50 = 408,208.50/x
  3. Step 3: Cross multiply
    186,975x = 408,208.50 × 408,208.50
  4. Step 4: Simplify right side
    186,975x = 166,634,179,472.25
  5. Step 5: Solve for x
    x = 166,634,179,472.25/186,975
  6. Step 6: Final answer
    x = 891,211.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.