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Finding the Third Proportional to 281,934 and 608,195.25

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Solution

The third proportional to 281,934 and 608,195.25 is: 1,312,014.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,934 : 608,195.25 = 608,195.25 : x
  2. Step 2: Convert to fraction form
    281,934/608,195.25 = 608,195.25/x
  3. Step 3: Cross multiply
    281,934x = 608,195.25 × 608,195.25
  4. Step 4: Simplify right side
    281,934x = 369,901,462,122.56
  5. Step 5: Solve for x
    x = 369,901,462,122.56/281,934
  6. Step 6: Final answer
    x = 1,312,014.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.