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Finding the Third Proportional to 185,328 and 403,920

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Solution

The third proportional to 185,328 and 403,920 is: 880,338.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,328 : 403,920 = 403,920 : x
  2. Step 2: Convert to fraction form
    185,328/403,920 = 403,920/x
  3. Step 3: Cross multiply
    185,328x = 403,920 × 403,920
  4. Step 4: Simplify right side
    185,328x = 163,151,366,400
  5. Step 5: Solve for x
    x = 163,151,366,400/185,328
  6. Step 6: Final answer
    x = 880,338.46

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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.