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Finding the Third Proportional to 184,076 and 398,894

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Solution

The third proportional to 184,076 and 398,894 is: 864,406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,076 : 398,894 = 398,894 : x
  2. Step 2: Convert to fraction form
    184,076/398,894 = 398,894/x
  3. Step 3: Cross multiply
    184,076x = 398,894 × 398,894
  4. Step 4: Simplify right side
    184,076x = 159,116,423,236
  5. Step 5: Solve for x
    x = 159,116,423,236/184,076
  6. Step 6: Final answer
    x = 864,406.13

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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.