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Finding the Third Proportional to 229,637 and 335,383

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Solution

The third proportional to 229,637 and 335,383 is: 489,824.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,637 : 335,383 = 335,383 : x
  2. Step 2: Convert to fraction form
    229,637/335,383 = 335,383/x
  3. Step 3: Cross multiply
    229,637x = 335,383 × 335,383
  4. Step 4: Simplify right side
    229,637x = 112,481,756,689
  5. Step 5: Solve for x
    x = 112,481,756,689/229,637
  6. Step 6: Final answer
    x = 489,824.19

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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.