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Finding the Third Proportional to 251,103 and 376,633.50

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Solution

The third proportional to 251,103 and 376,633.50 is: 564,918.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,103 : 376,633.50 = 376,633.50 : x
  2. Step 2: Convert to fraction form
    251,103/376,633.50 = 376,633.50/x
  3. Step 3: Cross multiply
    251,103x = 376,633.50 × 376,633.50
  4. Step 4: Simplify right side
    251,103x = 141,852,793,322.25
  5. Step 5: Solve for x
    x = 141,852,793,322.25/251,103
  6. Step 6: Final answer
    x = 564,918.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.