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Finding the Third Proportional to 164,048 and 347,536

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Solution

The third proportional to 164,048 and 347,536 is: 736,255.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,048 : 347,536 = 347,536 : x
  2. Step 2: Convert to fraction form
    164,048/347,536 = 347,536/x
  3. Step 3: Cross multiply
    164,048x = 347,536 × 347,536
  4. Step 4: Simplify right side
    164,048x = 120,781,271,296
  5. Step 5: Solve for x
    x = 120,781,271,296/164,048
  6. Step 6: Final answer
    x = 736,255.68

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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.