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Finding the Third Proportional to 204,792.30 and 307,188.49

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Solution

The third proportional to 204,792.30 and 307,188.49 is: 460,782.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,792.30 : 307,188.49 = 307,188.49 : x
  2. Step 2: Convert to fraction form
    204,792.30/307,188.49 = 307,188.49/x
  3. Step 3: Cross multiply
    204,792.30x = 307,188.49 × 307,188.49
  4. Step 4: Simplify right side
    204,792.30x = 94,364,765,682.58
  5. Step 5: Solve for x
    x = 94,364,765,682.58/204,792.30
  6. Step 6: Final answer
    x = 460,782.77

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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.