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Finding the Third Proportional to 140,818.50 and 307,759.50

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Solution

The third proportional to 140,818.50 and 307,759.50 is: 672,609.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,818.50 : 307,759.50 = 307,759.50 : x
  2. Step 2: Convert to fraction form
    140,818.50/307,759.50 = 307,759.50/x
  3. Step 3: Cross multiply
    140,818.50x = 307,759.50 × 307,759.50
  4. Step 4: Simplify right side
    140,818.50x = 94,715,909,840.25
  5. Step 5: Solve for x
    x = 94,715,909,840.25/140,818.50
  6. Step 6: Final answer
    x = 672,609.85

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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.