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Finding the Third Proportional to 138,444.19 and 302,514.75

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Solution

The third proportional to 138,444.19 and 302,514.75 is: 661,025.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,444.19 : 302,514.75 = 302,514.75 : x
  2. Step 2: Convert to fraction form
    138,444.19/302,514.75 = 302,514.75/x
  3. Step 3: Cross multiply
    138,444.19x = 302,514.75 × 302,514.75
  4. Step 4: Simplify right side
    138,444.19x = 91,515,173,967.56
  5. Step 5: Solve for x
    x = 91,515,173,967.56/138,444.19
  6. Step 6: Final answer
    x = 661,025.76

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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.