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Finding the Third Proportional to 187,174 and 405,882

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Solution

The third proportional to 187,174 and 405,882 is: 880,144.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,174 : 405,882 = 405,882 : x
  2. Step 2: Convert to fraction form
    187,174/405,882 = 405,882/x
  3. Step 3: Cross multiply
    187,174x = 405,882 × 405,882
  4. Step 4: Simplify right side
    187,174x = 164,740,197,924
  5. Step 5: Solve for x
    x = 164,740,197,924/187,174
  6. Step 6: Final answer
    x = 880,144.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.