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Finding the Third Proportional to 186,932 and 282,629

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Solution

The third proportional to 186,932 and 282,629 is: 427,316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,932 : 282,629 = 282,629 : x
  2. Step 2: Convert to fraction form
    186,932/282,629 = 282,629/x
  3. Step 3: Cross multiply
    186,932x = 282,629 × 282,629
  4. Step 4: Simplify right side
    186,932x = 79,879,151,641
  5. Step 5: Solve for x
    x = 79,879,151,641/186,932
  6. Step 6: Final answer
    x = 427,316.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.