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Finding the Third Proportional to 234,889.88 and 512,122.50

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Solution

The third proportional to 234,889.88 and 512,122.50 is: 1,116,563.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,889.88 : 512,122.50 = 512,122.50 : x
  2. Step 2: Convert to fraction form
    234,889.88/512,122.50 = 512,122.50/x
  3. Step 3: Cross multiply
    234,889.88x = 512,122.50 × 512,122.50
  4. Step 4: Simplify right side
    234,889.88x = 262,269,455,006.25
  5. Step 5: Solve for x
    x = 262,269,455,006.25/234,889.88
  6. Step 6: Final answer
    x = 1,116,563.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.