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Finding the Third Proportional to 164,583.56 and 354,142.13

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Solution

The third proportional to 164,583.56 and 354,142.13 is: 762,024.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,583.56 : 354,142.13 = 354,142.13 : x
  2. Step 2: Convert to fraction form
    164,583.56/354,142.13 = 354,142.13/x
  3. Step 3: Cross multiply
    164,583.56x = 354,142.13 × 354,142.13
  4. Step 4: Simplify right side
    164,583.56x = 125,416,644,699.52
  5. Step 5: Solve for x
    x = 125,416,644,699.52/164,583.56
  6. Step 6: Final answer
    x = 762,024.12

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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.