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Finding the Third Proportional to 229,686 and 335,457

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Solution

The third proportional to 229,686 and 335,457 is: 489,935.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,686 : 335,457 = 335,457 : x
  2. Step 2: Convert to fraction form
    229,686/335,457 = 335,457/x
  3. Step 3: Cross multiply
    229,686x = 335,457 × 335,457
  4. Step 4: Simplify right side
    229,686x = 112,531,398,849
  5. Step 5: Solve for x
    x = 112,531,398,849/229,686
  6. Step 6: Final answer
    x = 489,935.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.