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Finding the Third Proportional to 187,971 and 407,106

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Solution

The third proportional to 187,971 and 407,106 is: 881,706.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,971 : 407,106 = 407,106 : x
  2. Step 2: Convert to fraction form
    187,971/407,106 = 407,106/x
  3. Step 3: Cross multiply
    187,971x = 407,106 × 407,106
  4. Step 4: Simplify right side
    187,971x = 165,735,295,236
  5. Step 5: Solve for x
    x = 165,735,295,236/187,971
  6. Step 6: Final answer
    x = 881,706.73

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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.