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Finding the Third Proportional to 251,202 and 376,807

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Solution

The third proportional to 251,202 and 376,807 is: 565,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,202 : 376,807 = 376,807 : x
  2. Step 2: Convert to fraction form
    251,202/376,807 = 376,807/x
  3. Step 3: Cross multiply
    251,202x = 376,807 × 376,807
  4. Step 4: Simplify right side
    251,202x = 141,983,515,249
  5. Step 5: Solve for x
    x = 141,983,515,249/251,202
  6. Step 6: Final answer
    x = 565,216.50

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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.