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Finding the Third Proportional to 134,119.50 and 290,018.25

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Solution

The third proportional to 134,119.50 and 290,018.25 is: 627,131.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,119.50 : 290,018.25 = 290,018.25 : x
  2. Step 2: Convert to fraction form
    134,119.50/290,018.25 = 290,018.25/x
  3. Step 3: Cross multiply
    134,119.50x = 290,018.25 × 290,018.25
  4. Step 4: Simplify right side
    134,119.50x = 84,110,585,333.06
  5. Step 5: Solve for x
    x = 84,110,585,333.06/134,119.50
  6. Step 6: Final answer
    x = 627,131.66

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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.