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Finding the Third Proportional to 226,869.75 and 335,116.13

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Solution

The third proportional to 226,869.75 and 335,116.13 is: 495,010.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,869.75 : 335,116.13 = 335,116.13 : x
  2. Step 2: Convert to fraction form
    226,869.75/335,116.13 = 335,116.13/x
  3. Step 3: Cross multiply
    226,869.75x = 335,116.13 × 335,116.13
  4. Step 4: Simplify right side
    226,869.75x = 112,302,817,235.02
  5. Step 5: Solve for x
    x = 112,302,817,235.02/226,869.75
  6. Step 6: Final answer
    x = 495,010.10

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.