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Finding the Third Proportional to 186,774 and 289,686

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Solution

The third proportional to 186,774 and 289,686 is: 449,302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,774 : 289,686 = 289,686 : x
  2. Step 2: Convert to fraction form
    186,774/289,686 = 289,686/x
  3. Step 3: Cross multiply
    186,774x = 289,686 × 289,686
  4. Step 4: Simplify right side
    186,774x = 83,917,978,596
  5. Step 5: Solve for x
    x = 83,917,978,596/186,774
  6. Step 6: Final answer
    x = 449,302.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.