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Finding the Third Proportional to 134,471.44 and 289,689.94

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Solution

The third proportional to 134,471.44 and 289,689.94 is: 624,074.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,471.44 : 289,689.94 = 289,689.94 : x
  2. Step 2: Convert to fraction form
    134,471.44/289,689.94 = 289,689.94/x
  3. Step 3: Cross multiply
    134,471.44x = 289,689.94 × 289,689.94
  4. Step 4: Simplify right side
    134,471.44x = 83,920,259,888.75
  5. Step 5: Solve for x
    x = 83,920,259,888.75/134,471.44
  6. Step 6: Final answer
    x = 624,074.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.