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Finding the Third Proportional to 232,353 and 344,211

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Solution

The third proportional to 232,353 and 344,211 is: 509,919.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,353 : 344,211 = 344,211 : x
  2. Step 2: Convert to fraction form
    232,353/344,211 = 344,211/x
  3. Step 3: Cross multiply
    232,353x = 344,211 × 344,211
  4. Step 4: Simplify right side
    232,353x = 118,481,212,521
  5. Step 5: Solve for x
    x = 118,481,212,521/232,353
  6. Step 6: Final answer
    x = 509,919.01

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.