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Finding the Third Proportional to 134,921.95 and 290,609.02

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Solution

The third proportional to 134,921.95 and 290,609.02 is: 625,944.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,921.95 : 290,609.02 = 290,609.02 : x
  2. Step 2: Convert to fraction form
    134,921.95/290,609.02 = 290,609.02/x
  3. Step 3: Cross multiply
    134,921.95x = 290,609.02 × 290,609.02
  4. Step 4: Simplify right side
    134,921.95x = 84,453,599,962.53
  5. Step 5: Solve for x
    x = 84,453,599,962.53/134,921.95
  6. Step 6: Final answer
    x = 625,944.10

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.