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Finding the Third Proportional to 134,115.75 and 290,010.38

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Solution

The third proportional to 134,115.75 and 290,010.38 is: 627,115.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,115.75 : 290,010.38 = 290,010.38 : x
  2. Step 2: Convert to fraction form
    134,115.75/290,010.38 = 290,010.38/x
  3. Step 3: Cross multiply
    134,115.75x = 290,010.38 × 290,010.38
  4. Step 4: Simplify right side
    134,115.75x = 84,106,017,607.64
  5. Step 5: Solve for x
    x = 84,106,017,607.64/134,115.75
  6. Step 6: Final answer
    x = 627,115.14

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Why These Related Problems?

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