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Finding the Third Proportional to 187,776 and 400,224

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Solution

The third proportional to 187,776 and 400,224 is: 853,033.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,776 : 400,224 = 400,224 : x
  2. Step 2: Convert to fraction form
    187,776/400,224 = 400,224/x
  3. Step 3: Cross multiply
    187,776x = 400,224 × 400,224
  4. Step 4: Simplify right side
    187,776x = 160,179,250,176
  5. Step 5: Solve for x
    x = 160,179,250,176/187,776
  6. Step 6: Final answer
    x = 853,033.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.