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Finding the Third Proportional to 193,891.22 and 289,674.98

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Solution

The third proportional to 193,891.22 and 289,674.98 is: 432,776.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,891.22 : 289,674.98 = 289,674.98 : x
  2. Step 2: Convert to fraction form
    193,891.22/289,674.98 = 289,674.98/x
  3. Step 3: Cross multiply
    193,891.22x = 289,674.98 × 289,674.98
  4. Step 4: Simplify right side
    193,891.22x = 83,911,596,572.66
  5. Step 5: Solve for x
    x = 83,911,596,572.66/193,891.22
  6. Step 6: Final answer
    x = 432,776.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.