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Finding the Third Proportional to 182,968.13 and 396,480

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Solution

The third proportional to 182,968.13 and 396,480 is: 859,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,968.13 : 396,480 = 396,480 : x
  2. Step 2: Convert to fraction form
    182,968.13/396,480 = 396,480/x
  3. Step 3: Cross multiply
    182,968.13x = 396,480 × 396,480
  4. Step 4: Simplify right side
    182,968.13x = 157,196,390,400
  5. Step 5: Solve for x
    x = 157,196,390,400/182,968.13
  6. Step 6: Final answer
    x = 859,146.32

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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.