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Finding the Third Proportional to 202,685 and 444,286

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Solution

The third proportional to 202,685 and 444,286 is: 973,875.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,685 : 444,286 = 444,286 : x
  2. Step 2: Convert to fraction form
    202,685/444,286 = 444,286/x
  3. Step 3: Cross multiply
    202,685x = 444,286 × 444,286
  4. Step 4: Simplify right side
    202,685x = 197,390,049,796
  5. Step 5: Solve for x
    x = 197,390,049,796/202,685
  6. Step 6: Final answer
    x = 973,875.96

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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.