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Finding the Third Proportional to 128,206 and 281,014

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Solution

The third proportional to 128,206 and 281,014 is: 615,952.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,206 : 281,014 = 281,014 : x
  2. Step 2: Convert to fraction form
    128,206/281,014 = 281,014/x
  3. Step 3: Cross multiply
    128,206x = 281,014 × 281,014
  4. Step 4: Simplify right side
    128,206x = 78,968,868,196
  5. Step 5: Solve for x
    x = 78,968,868,196/128,206
  6. Step 6: Final answer
    x = 615,952.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.