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Finding the Third Proportional to 134,956.69 and 295,337.25

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Solution

The third proportional to 134,956.69 and 295,337.25 is: 646,311.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,956.69 : 295,337.25 = 295,337.25 : x
  2. Step 2: Convert to fraction form
    134,956.69/295,337.25 = 295,337.25/x
  3. Step 3: Cross multiply
    134,956.69x = 295,337.25 × 295,337.25
  4. Step 4: Simplify right side
    134,956.69x = 87,224,091,237.56
  5. Step 5: Solve for x
    x = 87,224,091,237.56/134,956.69
  6. Step 6: Final answer
    x = 646,311.74

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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.