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Finding the Third Proportional to 182,196 and 400,260

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Solution

The third proportional to 182,196 and 400,260 is: 879,317.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,196 : 400,260 = 400,260 : x
  2. Step 2: Convert to fraction form
    182,196/400,260 = 400,260/x
  3. Step 3: Cross multiply
    182,196x = 400,260 × 400,260
  4. Step 4: Simplify right side
    182,196x = 160,208,067,600
  5. Step 5: Solve for x
    x = 160,208,067,600/182,196
  6. Step 6: Final answer
    x = 879,317.15

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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.