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Finding the Third Proportional to 145,393 and 320,054

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Solution

The third proportional to 145,393 and 320,054 is: 704,535.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,393 : 320,054 = 320,054 : x
  2. Step 2: Convert to fraction form
    145,393/320,054 = 320,054/x
  3. Step 3: Cross multiply
    145,393x = 320,054 × 320,054
  4. Step 4: Simplify right side
    145,393x = 102,434,562,916
  5. Step 5: Solve for x
    x = 102,434,562,916/145,393
  6. Step 6: Final answer
    x = 704,535.73

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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.