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Finding the Third Proportional to 118,868.72 and 256,462.59

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Solution

The third proportional to 118,868.72 and 256,462.59 is: 553,325.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,868.72 : 256,462.59 = 256,462.59 : x
  2. Step 2: Convert to fraction form
    118,868.72/256,462.59 = 256,462.59/x
  3. Step 3: Cross multiply
    118,868.72x = 256,462.59 × 256,462.59
  4. Step 4: Simplify right side
    118,868.72x = 65,773,061,992.98
  5. Step 5: Solve for x
    x = 65,773,061,992.98/118,868.72
  6. Step 6: Final answer
    x = 553,325.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.