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Finding the Third Proportional to 182,216 and 400,304

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Solution

The third proportional to 182,216 and 400,304 is: 879,413.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,216 : 400,304 = 400,304 : x
  2. Step 2: Convert to fraction form
    182,216/400,304 = 400,304/x
  3. Step 3: Cross multiply
    182,216x = 400,304 × 400,304
  4. Step 4: Simplify right side
    182,216x = 160,243,292,416
  5. Step 5: Solve for x
    x = 160,243,292,416/182,216
  6. Step 6: Final answer
    x = 879,413.95

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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.