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Finding the Third Proportional to 236,899.50 and 511,729.50

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Solution

The third proportional to 236,899.50 and 511,729.50 is: 1,105,393.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,899.50 : 511,729.50 = 511,729.50 : x
  2. Step 2: Convert to fraction form
    236,899.50/511,729.50 = 511,729.50/x
  3. Step 3: Cross multiply
    236,899.50x = 511,729.50 × 511,729.50
  4. Step 4: Simplify right side
    236,899.50x = 261,867,081,170.25
  5. Step 5: Solve for x
    x = 261,867,081,170.25/236,899.50
  6. Step 6: Final answer
    x = 1,105,393.14

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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.