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Finding the Third Proportional to 134,054 and 294,675

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Solution

The third proportional to 134,054 and 294,675 is: 647,749.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,054 : 294,675 = 294,675 : x
  2. Step 2: Convert to fraction form
    134,054/294,675 = 294,675/x
  3. Step 3: Cross multiply
    134,054x = 294,675 × 294,675
  4. Step 4: Simplify right side
    134,054x = 86,833,355,625
  5. Step 5: Solve for x
    x = 86,833,355,625/134,054
  6. Step 6: Final answer
    x = 647,749.08

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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.