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Finding the Third Proportional to 235,224 and 555,192

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Solution

The third proportional to 235,224 and 555,192 is: 1,310,402.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,224 : 555,192 = 555,192 : x
  2. Step 2: Convert to fraction form
    235,224/555,192 = 555,192/x
  3. Step 3: Cross multiply
    235,224x = 555,192 × 555,192
  4. Step 4: Simplify right side
    235,224x = 308,238,156,864
  5. Step 5: Solve for x
    x = 308,238,156,864/235,224
  6. Step 6: Final answer
    x = 1,310,402.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.