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Finding the Third Proportional to 186,840.84 and 290,104.03

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Solution

The third proportional to 186,840.84 and 290,104.03 is: 450,438.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,840.84 : 290,104.03 = 290,104.03 : x
  2. Step 2: Convert to fraction form
    186,840.84/290,104.03 = 290,104.03/x
  3. Step 3: Cross multiply
    186,840.84x = 290,104.03 × 290,104.03
  4. Step 4: Simplify right side
    186,840.84x = 84,160,348,947.50
  5. Step 5: Solve for x
    x = 84,160,348,947.50/186,840.84
  6. Step 6: Final answer
    x = 450,438.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.