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Finding the Third Proportional to 202,246.88 and 449,386.31

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Solution

The third proportional to 202,246.88 and 449,386.31 is: 998,522.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,246.88 : 449,386.31 = 449,386.31 : x
  2. Step 2: Convert to fraction form
    202,246.88/449,386.31 = 449,386.31/x
  3. Step 3: Cross multiply
    202,246.88x = 449,386.31 × 449,386.31
  4. Step 4: Simplify right side
    202,246.88x = 201,948,057,862.35
  5. Step 5: Solve for x
    x = 201,948,057,862.35/202,246.88
  6. Step 6: Final answer
    x = 998,522.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.