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Finding the Third Proportional to 134,594 and 295,722

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Solution

The third proportional to 134,594 and 295,722 is: 649,742.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,594 : 295,722 = 295,722 : x
  2. Step 2: Convert to fraction form
    134,594/295,722 = 295,722/x
  3. Step 3: Cross multiply
    134,594x = 295,722 × 295,722
  4. Step 4: Simplify right side
    134,594x = 87,451,501,284
  5. Step 5: Solve for x
    x = 87,451,501,284/134,594
  6. Step 6: Final answer
    x = 649,742.94

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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.