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Finding the Third Proportional to 146,784 and 204,240

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Solution

The third proportional to 146,784 and 204,240 is: 284,186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,784 : 204,240 = 204,240 : x
  2. Step 2: Convert to fraction form
    146,784/204,240 = 204,240/x
  3. Step 3: Cross multiply
    146,784x = 204,240 × 204,240
  4. Step 4: Simplify right side
    146,784x = 41,713,977,600
  5. Step 5: Solve for x
    x = 41,713,977,600/146,784
  6. Step 6: Final answer
    x = 284,186.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.