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Finding the Third Proportional to 240,896.50 and 508,925

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Solution

The third proportional to 240,896.50 and 508,925 is: 1,075,169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,896.50 : 508,925 = 508,925 : x
  2. Step 2: Convert to fraction form
    240,896.50/508,925 = 508,925/x
  3. Step 3: Cross multiply
    240,896.50x = 508,925 × 508,925
  4. Step 4: Simplify right side
    240,896.50x = 259,004,655,625
  5. Step 5: Solve for x
    x = 259,004,655,625/240,896.50
  6. Step 6: Final answer
    x = 1,075,169.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.