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Finding the Third Proportional to 138,047.63 and 301,083.75

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Solution

The third proportional to 138,047.63 and 301,083.75 is: 656,667.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,047.63 : 301,083.75 = 301,083.75 : x
  2. Step 2: Convert to fraction form
    138,047.63/301,083.75 = 301,083.75/x
  3. Step 3: Cross multiply
    138,047.63x = 301,083.75 × 301,083.75
  4. Step 4: Simplify right side
    138,047.63x = 90,651,424,514.06
  5. Step 5: Solve for x
    x = 90,651,424,514.06/138,047.63
  6. Step 6: Final answer
    x = 656,667.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.