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Finding the Third Proportional to 184,488 and 398,046

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Solution

The third proportional to 184,488 and 398,046 is: 858,812.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,488 : 398,046 = 398,046 : x
  2. Step 2: Convert to fraction form
    184,488/398,046 = 398,046/x
  3. Step 3: Cross multiply
    184,488x = 398,046 × 398,046
  4. Step 4: Simplify right side
    184,488x = 158,440,618,116
  5. Step 5: Solve for x
    x = 158,440,618,116/184,488
  6. Step 6: Final answer
    x = 858,812.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.