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Finding the Third Proportional to 186,302 and 366,954

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Solution

The third proportional to 186,302 and 366,954 is: 722,779.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,302 : 366,954 = 366,954 : x
  2. Step 2: Convert to fraction form
    186,302/366,954 = 366,954/x
  3. Step 3: Cross multiply
    186,302x = 366,954 × 366,954
  4. Step 4: Simplify right side
    186,302x = 134,655,238,116
  5. Step 5: Solve for x
    x = 134,655,238,116/186,302
  6. Step 6: Final answer
    x = 722,779.35

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.