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Finding the Third Proportional to 186,994.50 and 409,041.75

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Solution

The third proportional to 186,994.50 and 409,041.75 is: 894,759.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,994.50 : 409,041.75 = 409,041.75 : x
  2. Step 2: Convert to fraction form
    186,994.50/409,041.75 = 409,041.75/x
  3. Step 3: Cross multiply
    186,994.50x = 409,041.75 × 409,041.75
  4. Step 4: Simplify right side
    186,994.50x = 167,315,153,243.06
  5. Step 5: Solve for x
    x = 167,315,153,243.06/186,994.50
  6. Step 6: Final answer
    x = 894,759.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.