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Finding the Third Proportional to 259,224 and 370,692

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Solution

The third proportional to 259,224 and 370,692 is: 530,091.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,224 : 370,692 = 370,692 : x
  2. Step 2: Convert to fraction form
    259,224/370,692 = 370,692/x
  3. Step 3: Cross multiply
    259,224x = 370,692 × 370,692
  4. Step 4: Simplify right side
    259,224x = 137,412,558,864
  5. Step 5: Solve for x
    x = 137,412,558,864/259,224
  6. Step 6: Final answer
    x = 530,091.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.