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Finding the Third Proportional to 189,264 and 416,931

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Solution

The third proportional to 189,264 and 416,931 is: 918,460.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,264 : 416,931 = 416,931 : x
  2. Step 2: Convert to fraction form
    189,264/416,931 = 416,931/x
  3. Step 3: Cross multiply
    189,264x = 416,931 × 416,931
  4. Step 4: Simplify right side
    189,264x = 173,831,458,761
  5. Step 5: Solve for x
    x = 173,831,458,761/189,264
  6. Step 6: Final answer
    x = 918,460.24

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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.