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Finding the Third Proportional to 186,801.75 and 403,125.75

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Solution

The third proportional to 186,801.75 and 403,125.75 is: 869,961.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,801.75 : 403,125.75 = 403,125.75 : x
  2. Step 2: Convert to fraction form
    186,801.75/403,125.75 = 403,125.75/x
  3. Step 3: Cross multiply
    186,801.75x = 403,125.75 × 403,125.75
  4. Step 4: Simplify right side
    186,801.75x = 162,510,370,313.06
  5. Step 5: Solve for x
    x = 162,510,370,313.06/186,801.75
  6. Step 6: Final answer
    x = 869,961.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.