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Finding the Third Proportional to 164,896.50 and 361,352.63

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Solution

The third proportional to 164,896.50 and 361,352.63 is: 791,864.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,896.50 : 361,352.63 = 361,352.63 : x
  2. Step 2: Convert to fraction form
    164,896.50/361,352.63 = 361,352.63/x
  3. Step 3: Cross multiply
    164,896.50x = 361,352.63 × 361,352.63
  4. Step 4: Simplify right side
    164,896.50x = 130,575,719,594.39
  5. Step 5: Solve for x
    x = 130,575,719,594.39/164,896.50
  6. Step 6: Final answer
    x = 791,864.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.