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Finding the Third Proportional to 251,917 and 376,531.50

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Solution

The third proportional to 251,917 and 376,531.50 is: 562,788.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,917 : 376,531.50 = 376,531.50 : x
  2. Step 2: Convert to fraction form
    251,917/376,531.50 = 376,531.50/x
  3. Step 3: Cross multiply
    251,917x = 376,531.50 × 376,531.50
  4. Step 4: Simplify right side
    251,917x = 141,775,970,492.25
  5. Step 5: Solve for x
    x = 141,775,970,492.25/251,917
  6. Step 6: Final answer
    x = 562,788.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.