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Finding the Third Proportional to 186,423 and 279,654.75

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Solution

The third proportional to 186,423 and 279,654.75 is: 419,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,423 : 279,654.75 = 279,654.75 : x
  2. Step 2: Convert to fraction form
    186,423/279,654.75 = 279,654.75/x
  3. Step 3: Cross multiply
    186,423x = 279,654.75 × 279,654.75
  4. Step 4: Simplify right side
    186,423x = 78,206,779,197.56
  5. Step 5: Solve for x
    x = 78,206,779,197.56/186,423
  6. Step 6: Final answer
    x = 419,512.50

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Why These Related Problems?

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