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Finding the Third Proportional to 223,848 and 337,928

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Solution

The third proportional to 223,848 and 337,928 is: 510,146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,848 : 337,928 = 337,928 : x
  2. Step 2: Convert to fraction form
    223,848/337,928 = 337,928/x
  3. Step 3: Cross multiply
    223,848x = 337,928 × 337,928
  4. Step 4: Simplify right side
    223,848x = 114,195,333,184
  5. Step 5: Solve for x
    x = 114,195,333,184/223,848
  6. Step 6: Final answer
    x = 510,146.77

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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.