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Finding the Third Proportional to 202,819 and 293,763

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Solution

The third proportional to 202,819 and 293,763 is: 425,486.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,819 : 293,763 = 293,763 : x
  2. Step 2: Convert to fraction form
    202,819/293,763 = 293,763/x
  3. Step 3: Cross multiply
    202,819x = 293,763 × 293,763
  4. Step 4: Simplify right side
    202,819x = 86,296,700,169
  5. Step 5: Solve for x
    x = 86,296,700,169/202,819
  6. Step 6: Final answer
    x = 425,486.27

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.