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Finding the Third Proportional to 217,303.50 and 345,773.25

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Solution

The third proportional to 217,303.50 and 345,773.25 is: 550,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,303.50 : 345,773.25 = 345,773.25 : x
  2. Step 2: Convert to fraction form
    217,303.50/345,773.25 = 345,773.25/x
  3. Step 3: Cross multiply
    217,303.50x = 345,773.25 × 345,773.25
  4. Step 4: Simplify right side
    217,303.50x = 119,559,140,415.56
  5. Step 5: Solve for x
    x = 119,559,140,415.56/217,303.50
  6. Step 6: Final answer
    x = 550,194.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.