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Finding the Third Proportional to 164,002.22 and 347,505.19

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Solution

The third proportional to 164,002.22 and 347,505.19 is: 736,330.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,002.22 : 347,505.19 = 347,505.19 : x
  2. Step 2: Convert to fraction form
    164,002.22/347,505.19 = 347,505.19/x
  3. Step 3: Cross multiply
    164,002.22x = 347,505.19 × 347,505.19
  4. Step 4: Simplify right side
    164,002.22x = 120,759,855,339.41
  5. Step 5: Solve for x
    x = 120,759,855,339.41/164,002.22
  6. Step 6: Final answer
    x = 736,330.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.