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Finding the Third Proportional to 134,914 and 296,072

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Solution

The third proportional to 134,914 and 296,072 is: 649,737.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,914 : 296,072 = 296,072 : x
  2. Step 2: Convert to fraction form
    134,914/296,072 = 296,072/x
  3. Step 3: Cross multiply
    134,914x = 296,072 × 296,072
  4. Step 4: Simplify right side
    134,914x = 87,658,629,184
  5. Step 5: Solve for x
    x = 87,658,629,184/134,914
  6. Step 6: Final answer
    x = 649,737.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.