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Finding the Third Proportional to 186,525 and 281,559.75

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Solution

The third proportional to 186,525 and 281,559.75 is: 425,014.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,525 : 281,559.75 = 281,559.75 : x
  2. Step 2: Convert to fraction form
    186,525/281,559.75 = 281,559.75/x
  3. Step 3: Cross multiply
    186,525x = 281,559.75 × 281,559.75
  4. Step 4: Simplify right side
    186,525x = 79,275,892,820.06
  5. Step 5: Solve for x
    x = 79,275,892,820.06/186,525
  6. Step 6: Final answer
    x = 425,014.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.