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Finding the Third Proportional to 185,720 and 278,583

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Solution

The third proportional to 185,720 and 278,583 is: 417,879.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,720 : 278,583 = 278,583 : x
  2. Step 2: Convert to fraction form
    185,720/278,583 = 278,583/x
  3. Step 3: Cross multiply
    185,720x = 278,583 × 278,583
  4. Step 4: Simplify right side
    185,720x = 77,608,487,889
  5. Step 5: Solve for x
    x = 77,608,487,889/185,720
  6. Step 6: Final answer
    x = 417,879.00

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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.