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Finding the Third Proportional to 226,145.75 and 307,125.75

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Solution

The third proportional to 226,145.75 and 307,125.75 is: 417,103.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,145.75 : 307,125.75 = 307,125.75 : x
  2. Step 2: Convert to fraction form
    226,145.75/307,125.75 = 307,125.75/x
  3. Step 3: Cross multiply
    226,145.75x = 307,125.75 × 307,125.75
  4. Step 4: Simplify right side
    226,145.75x = 94,326,226,313.06
  5. Step 5: Solve for x
    x = 94,326,226,313.06/226,145.75
  6. Step 6: Final answer
    x = 417,103.69

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.