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Finding the Third Proportional to 131,494.50 and 288,000

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Solution

The third proportional to 131,494.50 and 288,000 is: 630,779.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,494.50 : 288,000 = 288,000 : x
  2. Step 2: Convert to fraction form
    131,494.50/288,000 = 288,000/x
  3. Step 3: Cross multiply
    131,494.50x = 288,000 × 288,000
  4. Step 4: Simplify right side
    131,494.50x = 82,944,000,000
  5. Step 5: Solve for x
    x = 82,944,000,000/131,494.50
  6. Step 6: Final answer
    x = 630,779.23

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