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Finding the Third Proportional to 164,509.31 and 353,500.88

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Solution

The third proportional to 164,509.31 and 353,500.88 is: 759,609.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,509.31 : 353,500.88 = 353,500.88 : x
  2. Step 2: Convert to fraction form
    164,509.31/353,500.88 = 353,500.88/x
  3. Step 3: Cross multiply
    164,509.31x = 353,500.88 × 353,500.88
  4. Step 4: Simplify right side
    164,509.31x = 124,962,868,625.77
  5. Step 5: Solve for x
    x = 124,962,868,625.77/164,509.31
  6. Step 6: Final answer
    x = 759,609.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.