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Finding the Third Proportional to 226,701 and 353,835

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Solution

The third proportional to 226,701 and 353,835 is: 552,265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,701 : 353,835 = 353,835 : x
  2. Step 2: Convert to fraction form
    226,701/353,835 = 353,835/x
  3. Step 3: Cross multiply
    226,701x = 353,835 × 353,835
  4. Step 4: Simplify right side
    226,701x = 125,199,207,225
  5. Step 5: Solve for x
    x = 125,199,207,225/226,701
  6. Step 6: Final answer
    x = 552,265.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.