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Finding the Third Proportional to 204,329 and 306,773

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Solution

The third proportional to 204,329 and 306,773 is: 460,579.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,329 : 306,773 = 306,773 : x
  2. Step 2: Convert to fraction form
    204,329/306,773 = 306,773/x
  3. Step 3: Cross multiply
    204,329x = 306,773 × 306,773
  4. Step 4: Simplify right side
    204,329x = 94,109,673,529
  5. Step 5: Solve for x
    x = 94,109,673,529/204,329
  6. Step 6: Final answer
    x = 460,579.13

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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.