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Finding the Third Proportional to 118,710 and 241,815.50

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Solution

The third proportional to 118,710 and 241,815.50 is: 492,584.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,710 : 241,815.50 = 241,815.50 : x
  2. Step 2: Convert to fraction form
    118,710/241,815.50 = 241,815.50/x
  3. Step 3: Cross multiply
    118,710x = 241,815.50 × 241,815.50
  4. Step 4: Simplify right side
    118,710x = 58,474,736,040.25
  5. Step 5: Solve for x
    x = 58,474,736,040.25/118,710
  6. Step 6: Final answer
    x = 492,584.75

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.