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Finding the Third Proportional to 202,650 and 444,216

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Solution

The third proportional to 202,650 and 444,216 is: 973,737.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,650 : 444,216 = 444,216 : x
  2. Step 2: Convert to fraction form
    202,650/444,216 = 444,216/x
  3. Step 3: Cross multiply
    202,650x = 444,216 × 444,216
  4. Step 4: Simplify right side
    202,650x = 197,327,854,656
  5. Step 5: Solve for x
    x = 197,327,854,656/202,650
  6. Step 6: Final answer
    x = 973,737.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.