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Finding the Third Proportional to 202,493.75 and 302,100.25

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Solution

The third proportional to 202,493.75 and 302,100.25 is: 450,703.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,493.75 : 302,100.25 = 302,100.25 : x
  2. Step 2: Convert to fraction form
    202,493.75/302,100.25 = 302,100.25/x
  3. Step 3: Cross multiply
    202,493.75x = 302,100.25 × 302,100.25
  4. Step 4: Simplify right side
    202,493.75x = 91,264,561,050.06
  5. Step 5: Solve for x
    x = 91,264,561,050.06/202,493.75
  6. Step 6: Final answer
    x = 450,703.10

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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.