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Finding the Third Proportional to 125,313.75 and 295,665.75

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Solution

The third proportional to 125,313.75 and 295,665.75 is: 697,594.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,313.75 : 295,665.75 = 295,665.75 : x
  2. Step 2: Convert to fraction form
    125,313.75/295,665.75 = 295,665.75/x
  3. Step 3: Cross multiply
    125,313.75x = 295,665.75 × 295,665.75
  4. Step 4: Simplify right side
    125,313.75x = 87,418,235,723.06
  5. Step 5: Solve for x
    x = 87,418,235,723.06/125,313.75
  6. Step 6: Final answer
    x = 697,594.92

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.