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Finding the Third Proportional to 147,965.63 and 326,093.06

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Solution

The third proportional to 147,965.63 and 326,093.06 is: 718,658.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,965.63 : 326,093.06 = 326,093.06 : x
  2. Step 2: Convert to fraction form
    147,965.63/326,093.06 = 326,093.06/x
  3. Step 3: Cross multiply
    147,965.63x = 326,093.06 × 326,093.06
  4. Step 4: Simplify right side
    147,965.63x = 106,336,685,410.63
  5. Step 5: Solve for x
    x = 106,336,685,410.63/147,965.63
  6. Step 6: Final answer
    x = 718,658.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.