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Finding the Third Proportional to 202,493.25 and 302,099.63

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Solution

The third proportional to 202,493.25 and 302,099.63 is: 450,702.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,493.25 : 302,099.63 = 302,099.63 : x
  2. Step 2: Convert to fraction form
    202,493.25/302,099.63 = 302,099.63/x
  3. Step 3: Cross multiply
    202,493.25x = 302,099.63 × 302,099.63
  4. Step 4: Simplify right side
    202,493.25x = 91,264,183,425.14
  5. Step 5: Solve for x
    x = 91,264,183,425.14/202,493.25
  6. Step 6: Final answer
    x = 450,702.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.