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Finding the Third Proportional to 164,806.50 and 352,941

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Solution

The third proportional to 164,806.50 and 352,941 is: 755,840.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,806.50 : 352,941 = 352,941 : x
  2. Step 2: Convert to fraction form
    164,806.50/352,941 = 352,941/x
  3. Step 3: Cross multiply
    164,806.50x = 352,941 × 352,941
  4. Step 4: Simplify right side
    164,806.50x = 124,567,349,481
  5. Step 5: Solve for x
    x = 124,567,349,481/164,806.50
  6. Step 6: Final answer
    x = 755,840.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.