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Finding the Third Proportional to 202,684.50 and 469,228.50

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Solution

The third proportional to 202,684.50 and 469,228.50 is: 1,086,296.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,684.50 : 469,228.50 = 469,228.50 : x
  2. Step 2: Convert to fraction form
    202,684.50/469,228.50 = 469,228.50/x
  3. Step 3: Cross multiply
    202,684.50x = 469,228.50 × 469,228.50
  4. Step 4: Simplify right side
    202,684.50x = 220,175,385,212.25
  5. Step 5: Solve for x
    x = 220,175,385,212.25/202,684.50
  6. Step 6: Final answer
    x = 1,086,296.12

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.