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Finding the Third Proportional to 200,328 and 309,773

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Solution

The third proportional to 200,328 and 309,773 is: 479,010.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,328 : 309,773 = 309,773 : x
  2. Step 2: Convert to fraction form
    200,328/309,773 = 309,773/x
  3. Step 3: Cross multiply
    200,328x = 309,773 × 309,773
  4. Step 4: Simplify right side
    200,328x = 95,959,311,529
  5. Step 5: Solve for x
    x = 95,959,311,529/200,328
  6. Step 6: Final answer
    x = 479,010.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.