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Finding the Third Proportional to 174,960 and 258,749.44

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Solution

The third proportional to 174,960 and 258,749.44 is: 382,666.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,960 : 258,749.44 = 258,749.44 : x
  2. Step 2: Convert to fraction form
    174,960/258,749.44 = 258,749.44/x
  3. Step 3: Cross multiply
    174,960x = 258,749.44 × 258,749.44
  4. Step 4: Simplify right side
    174,960x = 66,951,271,406.57
  5. Step 5: Solve for x
    x = 66,951,271,406.57/174,960
  6. Step 6: Final answer
    x = 382,666.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.