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Finding the Third Proportional to 226,894.50 and 495,051.75

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Solution

The third proportional to 226,894.50 and 495,051.75 is: 1,080,132.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,894.50 : 495,051.75 = 495,051.75 : x
  2. Step 2: Convert to fraction form
    226,894.50/495,051.75 = 495,051.75/x
  3. Step 3: Cross multiply
    226,894.50x = 495,051.75 × 495,051.75
  4. Step 4: Simplify right side
    226,894.50x = 245,076,235,178.06
  5. Step 5: Solve for x
    x = 245,076,235,178.06/226,894.50
  6. Step 6: Final answer
    x = 1,080,132.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.