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Finding the Third Proportional to 103,769 and 202,354

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Solution

The third proportional to 103,769 and 202,354 is: 394,598.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,769 : 202,354 = 202,354 : x
  2. Step 2: Convert to fraction form
    103,769/202,354 = 202,354/x
  3. Step 3: Cross multiply
    103,769x = 202,354 × 202,354
  4. Step 4: Simplify right side
    103,769x = 40,947,141,316
  5. Step 5: Solve for x
    x = 40,947,141,316/103,769
  6. Step 6: Final answer
    x = 394,598.98

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.