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Finding the Third Proportional to 251,010 and 351,085.50

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Solution

The third proportional to 251,010 and 351,085.50 is: 491,060.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,010 : 351,085.50 = 351,085.50 : x
  2. Step 2: Convert to fraction form
    251,010/351,085.50 = 351,085.50/x
  3. Step 3: Cross multiply
    251,010x = 351,085.50 × 351,085.50
  4. Step 4: Simplify right side
    251,010x = 123,261,028,310.25
  5. Step 5: Solve for x
    x = 123,261,028,310.25/251,010
  6. Step 6: Final answer
    x = 491,060.23

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.