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Finding the Third Proportional to 169,248 and 367,674

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Solution

The third proportional to 169,248 and 367,674 is: 798,734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,248 : 367,674 = 367,674 : x
  2. Step 2: Convert to fraction form
    169,248/367,674 = 367,674/x
  3. Step 3: Cross multiply
    169,248x = 367,674 × 367,674
  4. Step 4: Simplify right side
    169,248x = 135,184,170,276
  5. Step 5: Solve for x
    x = 135,184,170,276/169,248
  6. Step 6: Final answer
    x = 798,734.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.