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Finding the Third Proportional to 169,296.75 and 367,753.50

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Solution

The third proportional to 169,296.75 and 367,753.50 is: 798,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,296.75 : 367,753.50 = 367,753.50 : x
  2. Step 2: Convert to fraction form
    169,296.75/367,753.50 = 367,753.50/x
  3. Step 3: Cross multiply
    169,296.75x = 367,753.50 × 367,753.50
  4. Step 4: Simplify right side
    169,296.75x = 135,242,636,762.25
  5. Step 5: Solve for x
    x = 135,242,636,762.25/169,296.75
  6. Step 6: Final answer
    x = 798,849.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.