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Finding the Third Proportional to 204,332 and 306,774

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Solution

The third proportional to 204,332 and 306,774 is: 460,575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,332 : 306,774 = 306,774 : x
  2. Step 2: Convert to fraction form
    204,332/306,774 = 306,774/x
  3. Step 3: Cross multiply
    204,332x = 306,774 × 306,774
  4. Step 4: Simplify right side
    204,332x = 94,110,287,076
  5. Step 5: Solve for x
    x = 94,110,287,076/204,332
  6. Step 6: Final answer
    x = 460,575.37

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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.