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Finding the Third Proportional to 202,432 and 302,012

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Solution

The third proportional to 202,432 and 302,012 is: 450,577.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,432 : 302,012 = 302,012 : x
  2. Step 2: Convert to fraction form
    202,432/302,012 = 302,012/x
  3. Step 3: Cross multiply
    202,432x = 302,012 × 302,012
  4. Step 4: Simplify right side
    202,432x = 91,211,248,144
  5. Step 5: Solve for x
    x = 91,211,248,144/202,432
  6. Step 6: Final answer
    x = 450,577.22

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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.