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Finding the Third Proportional to 185,465 and 397,168

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Solution

The third proportional to 185,465 and 397,168 is: 850,523.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,465 : 397,168 = 397,168 : x
  2. Step 2: Convert to fraction form
    185,465/397,168 = 397,168/x
  3. Step 3: Cross multiply
    185,465x = 397,168 × 397,168
  4. Step 4: Simplify right side
    185,465x = 157,742,420,224
  5. Step 5: Solve for x
    x = 157,742,420,224/185,465
  6. Step 6: Final answer
    x = 850,523.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.