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Finding the Third Proportional to 225,096 and 343,362

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Solution

The third proportional to 225,096 and 343,362 is: 523,765.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,096 : 343,362 = 343,362 : x
  2. Step 2: Convert to fraction form
    225,096/343,362 = 343,362/x
  3. Step 3: Cross multiply
    225,096x = 343,362 × 343,362
  4. Step 4: Simplify right side
    225,096x = 117,897,463,044
  5. Step 5: Solve for x
    x = 117,897,463,044/225,096
  6. Step 6: Final answer
    x = 523,765.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.