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Finding the Third Proportional to 186,955 and 407,743

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Solution

The third proportional to 186,955 and 407,743 is: 889,274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,955 : 407,743 = 407,743 : x
  2. Step 2: Convert to fraction form
    186,955/407,743 = 407,743/x
  3. Step 3: Cross multiply
    186,955x = 407,743 × 407,743
  4. Step 4: Simplify right side
    186,955x = 166,254,354,049
  5. Step 5: Solve for x
    x = 166,254,354,049/186,955
  6. Step 6: Final answer
    x = 889,274.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.