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Finding the Third Proportional to 229,800 and 330,980

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Solution

The third proportional to 229,800 and 330,980 is: 476,709.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,800 : 330,980 = 330,980 : x
  2. Step 2: Convert to fraction form
    229,800/330,980 = 330,980/x
  3. Step 3: Cross multiply
    229,800x = 330,980 × 330,980
  4. Step 4: Simplify right side
    229,800x = 109,547,760,400
  5. Step 5: Solve for x
    x = 109,547,760,400/229,800
  6. Step 6: Final answer
    x = 476,709.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.