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Finding the Third Proportional to 251,172 and 351,328.50

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Solution

The third proportional to 251,172 and 351,328.50 is: 491,423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,172 : 351,328.50 = 351,328.50 : x
  2. Step 2: Convert to fraction form
    251,172/351,328.50 = 351,328.50/x
  3. Step 3: Cross multiply
    251,172x = 351,328.50 × 351,328.50
  4. Step 4: Simplify right side
    251,172x = 123,431,714,912.25
  5. Step 5: Solve for x
    x = 123,431,714,912.25/251,172
  6. Step 6: Final answer
    x = 491,423.07

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Why These Related Problems?

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