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Finding the Third Proportional to 234,409 and 361,344

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Solution

The third proportional to 234,409 and 361,344 is: 557,015.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,409 : 361,344 = 361,344 : x
  2. Step 2: Convert to fraction form
    234,409/361,344 = 361,344/x
  3. Step 3: Cross multiply
    234,409x = 361,344 × 361,344
  4. Step 4: Simplify right side
    234,409x = 130,569,486,336
  5. Step 5: Solve for x
    x = 130,569,486,336/234,409
  6. Step 6: Final answer
    x = 557,015.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.