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Finding the Third Proportional to 114,017.63 and 263,925

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Solution

The third proportional to 114,017.63 and 263,925 is: 610,926.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,017.63 : 263,925 = 263,925 : x
  2. Step 2: Convert to fraction form
    114,017.63/263,925 = 263,925/x
  3. Step 3: Cross multiply
    114,017.63x = 263,925 × 263,925
  4. Step 4: Simplify right side
    114,017.63x = 69,656,405,625
  5. Step 5: Solve for x
    x = 69,656,405,625/114,017.63
  6. Step 6: Final answer
    x = 610,926.65

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.