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Finding the Third Proportional to 186,809.63 and 405,371.25

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Solution

The third proportional to 186,809.63 and 405,371.25 is: 879,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,809.63 : 405,371.25 = 405,371.25 : x
  2. Step 2: Convert to fraction form
    186,809.63/405,371.25 = 405,371.25/x
  3. Step 3: Cross multiply
    186,809.63x = 405,371.25 × 405,371.25
  4. Step 4: Simplify right side
    186,809.63x = 164,325,850,326.56
  5. Step 5: Solve for x
    x = 164,325,850,326.56/186,809.63
  6. Step 6: Final answer
    x = 879,643.38

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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.