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Finding the Third Proportional to 202,424 and 302,000

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Solution

The third proportional to 202,424 and 302,000 is: 450,559.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,424 : 302,000 = 302,000 : x
  2. Step 2: Convert to fraction form
    202,424/302,000 = 302,000/x
  3. Step 3: Cross multiply
    202,424x = 302,000 × 302,000
  4. Step 4: Simplify right side
    202,424x = 91,204,000,000
  5. Step 5: Solve for x
    x = 91,204,000,000/202,424
  6. Step 6: Final answer
    x = 450,559.22

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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.