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Finding the Third Proportional to 164,269.90 and 353,080.90

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Solution

The third proportional to 164,269.90 and 353,080.90 is: 758,910.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,269.90 : 353,080.90 = 353,080.90 : x
  2. Step 2: Convert to fraction form
    164,269.90/353,080.90 = 353,080.90/x
  3. Step 3: Cross multiply
    164,269.90x = 353,080.90 × 353,080.90
  4. Step 4: Simplify right side
    164,269.90x = 124,666,120,841.43
  5. Step 5: Solve for x
    x = 124,666,120,841.43/164,269.90
  6. Step 6: Final answer
    x = 758,910.32

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Why These Related Problems?

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