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Finding the Third Proportional to 114,185 and 245,201

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Solution

The third proportional to 114,185 and 245,201 is: 526,544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,185 : 245,201 = 245,201 : x
  2. Step 2: Convert to fraction form
    114,185/245,201 = 245,201/x
  3. Step 3: Cross multiply
    114,185x = 245,201 × 245,201
  4. Step 4: Simplify right side
    114,185x = 60,123,530,401
  5. Step 5: Solve for x
    x = 60,123,530,401/114,185
  6. Step 6: Final answer
    x = 526,544.91

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Why These Related Problems?

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