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Finding the Third Proportional to 202,303 and 302,069

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Solution

The third proportional to 202,303 and 302,069 is: 451,034.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,303 : 302,069 = 302,069 : x
  2. Step 2: Convert to fraction form
    202,303/302,069 = 302,069/x
  3. Step 3: Cross multiply
    202,303x = 302,069 × 302,069
  4. Step 4: Simplify right side
    202,303x = 91,245,680,761
  5. Step 5: Solve for x
    x = 91,245,680,761/202,303
  6. Step 6: Final answer
    x = 451,034.74

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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.