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Finding the Third Proportional to 223,515 and 337,324.50

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Solution

The third proportional to 223,515 and 337,324.50 is: 509,083.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,515 : 337,324.50 = 337,324.50 : x
  2. Step 2: Convert to fraction form
    223,515/337,324.50 = 337,324.50/x
  3. Step 3: Cross multiply
    223,515x = 337,324.50 × 337,324.50
  4. Step 4: Simplify right side
    223,515x = 113,787,818,300.25
  5. Step 5: Solve for x
    x = 113,787,818,300.25/223,515
  6. Step 6: Final answer
    x = 509,083.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.