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Finding the Third Proportional to 114,501.41 and 241,919.79

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Solution

The third proportional to 114,501.41 and 241,919.79 is: 511,130.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,501.41 : 241,919.79 = 241,919.79 : x
  2. Step 2: Convert to fraction form
    114,501.41/241,919.79 = 241,919.79/x
  3. Step 3: Cross multiply
    114,501.41x = 241,919.79 × 241,919.79
  4. Step 4: Simplify right side
    114,501.41x = 58,525,184,340.04
  5. Step 5: Solve for x
    x = 58,525,184,340.04/114,501.41
  6. Step 6: Final answer
    x = 511,130.69

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.