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Finding the Third Proportional to 185,184 and 403,824

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Solution

The third proportional to 185,184 and 403,824 is: 880,604.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,184 : 403,824 = 403,824 : x
  2. Step 2: Convert to fraction form
    185,184/403,824 = 403,824/x
  3. Step 3: Cross multiply
    185,184x = 403,824 × 403,824
  4. Step 4: Simplify right side
    185,184x = 163,073,822,976
  5. Step 5: Solve for x
    x = 163,073,822,976/185,184
  6. Step 6: Final answer
    x = 880,604.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.