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Finding the Third Proportional to 140,566.64 and 308,489.77

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Solution

The third proportional to 140,566.64 and 308,489.77 is: 677,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,566.64 : 308,489.77 = 308,489.77 : x
  2. Step 2: Convert to fraction form
    140,566.64/308,489.77 = 308,489.77/x
  3. Step 3: Cross multiply
    140,566.64x = 308,489.77 × 308,489.77
  4. Step 4: Simplify right side
    140,566.64x = 95,165,935,495.37
  5. Step 5: Solve for x
    x = 95,165,935,495.37/140,566.64
  6. Step 6: Final answer
    x = 677,016.50

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Why These Related Problems?

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