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Finding the Third Proportional to 311,292 and 468,193.50

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Solution

The third proportional to 311,292 and 468,193.50 is: 704,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,292 : 468,193.50 = 468,193.50 : x
  2. Step 2: Convert to fraction form
    311,292/468,193.50 = 468,193.50/x
  3. Step 3: Cross multiply
    311,292x = 468,193.50 × 468,193.50
  4. Step 4: Simplify right side
    311,292x = 219,205,153,442.25
  5. Step 5: Solve for x
    x = 219,205,153,442.25/311,292
  6. Step 6: Final answer
    x = 704,178.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.