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Finding the Third Proportional to 186,423.75 and 279,655.88

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Solution

The third proportional to 186,423.75 and 279,655.88 is: 419,514.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,423.75 : 279,655.88 = 279,655.88 : x
  2. Step 2: Convert to fraction form
    186,423.75/279,655.88 = 279,655.88/x
  3. Step 3: Cross multiply
    186,423.75x = 279,655.88 × 279,655.88
  4. Step 4: Simplify right side
    186,423.75x = 78,207,408,422.02
  5. Step 5: Solve for x
    x = 78,207,408,422.02/186,423.75
  6. Step 6: Final answer
    x = 419,514.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.