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Finding the Third Proportional to 186,805.88 and 405,363.75

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Solution

The third proportional to 186,805.88 and 405,363.75 is: 879,628.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,805.88 : 405,363.75 = 405,363.75 : x
  2. Step 2: Convert to fraction form
    186,805.88/405,363.75 = 405,363.75/x
  3. Step 3: Cross multiply
    186,805.88x = 405,363.75 × 405,363.75
  4. Step 4: Simplify right side
    186,805.88x = 164,319,769,814.06
  5. Step 5: Solve for x
    x = 164,319,769,814.06/186,805.88
  6. Step 6: Final answer
    x = 879,628.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.