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Finding the Third Proportional to 202,648.50 and 469,138.50

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Solution

The third proportional to 202,648.50 and 469,138.50 is: 1,086,072.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,648.50 : 469,138.50 = 469,138.50 : x
  2. Step 2: Convert to fraction form
    202,648.50/469,138.50 = 469,138.50/x
  3. Step 3: Cross multiply
    202,648.50x = 469,138.50 × 469,138.50
  4. Step 4: Simplify right side
    202,648.50x = 220,090,932,182.25
  5. Step 5: Solve for x
    x = 220,090,932,182.25/202,648.50
  6. Step 6: Final answer
    x = 1,086,072.35

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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.