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Finding the Third Proportional to 263,955 and 376,087.50

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Solution

The third proportional to 263,955 and 376,087.50 is: 535,855.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,955 : 376,087.50 = 376,087.50 : x
  2. Step 2: Convert to fraction form
    263,955/376,087.50 = 376,087.50/x
  3. Step 3: Cross multiply
    263,955x = 376,087.50 × 376,087.50
  4. Step 4: Simplify right side
    263,955x = 141,441,807,656.25
  5. Step 5: Solve for x
    x = 141,441,807,656.25/263,955
  6. Step 6: Final answer
    x = 535,855.76

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.