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Finding the Third Proportional to 166,698.63 and 238,208.77

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Solution

The third proportional to 166,698.63 and 238,208.77 is: 340,395.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,698.63 : 238,208.77 = 238,208.77 : x
  2. Step 2: Convert to fraction form
    166,698.63/238,208.77 = 238,208.77/x
  3. Step 3: Cross multiply
    166,698.63x = 238,208.77 × 238,208.77
  4. Step 4: Simplify right side
    166,698.63x = 56,743,416,020.59
  5. Step 5: Solve for x
    x = 56,743,416,020.59/166,698.63
  6. Step 6: Final answer
    x = 340,395.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.