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Finding the Third Proportional to 225,771 and 307,510.50

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Solution

The third proportional to 225,771 and 307,510.50 is: 418,843.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,771 : 307,510.50 = 307,510.50 : x
  2. Step 2: Convert to fraction form
    225,771/307,510.50 = 307,510.50/x
  3. Step 3: Cross multiply
    225,771x = 307,510.50 × 307,510.50
  4. Step 4: Simplify right side
    225,771x = 94,562,707,610.25
  5. Step 5: Solve for x
    x = 94,562,707,610.25/225,771
  6. Step 6: Final answer
    x = 418,843.46

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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.