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Finding the Third Proportional to 202,434 and 302,715

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Solution

The third proportional to 202,434 and 302,715 is: 452,672.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,434 : 302,715 = 302,715 : x
  2. Step 2: Convert to fraction form
    202,434/302,715 = 302,715/x
  3. Step 3: Cross multiply
    202,434x = 302,715 × 302,715
  4. Step 4: Simplify right side
    202,434x = 91,636,371,225
  5. Step 5: Solve for x
    x = 91,636,371,225/202,434
  6. Step 6: Final answer
    x = 452,672.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.