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Finding the Third Proportional to 171,698.06 and 368,307.84

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Solution

The third proportional to 171,698.06 and 368,307.84 is: 790,053.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,698.06 : 368,307.84 = 368,307.84 : x
  2. Step 2: Convert to fraction form
    171,698.06/368,307.84 = 368,307.84/x
  3. Step 3: Cross multiply
    171,698.06x = 368,307.84 × 368,307.84
  4. Step 4: Simplify right side
    171,698.06x = 135,650,667,767.77
  5. Step 5: Solve for x
    x = 135,650,667,767.77/171,698.06
  6. Step 6: Final answer
    x = 790,053.57

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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.