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Finding the Third Proportional to 149,514.75 and 328,093.88

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Solution

The third proportional to 149,514.75 and 328,093.88 is: 719,966.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,514.75 : 328,093.88 = 328,093.88 : x
  2. Step 2: Convert to fraction form
    149,514.75/328,093.88 = 328,093.88/x
  3. Step 3: Cross multiply
    149,514.75x = 328,093.88 × 328,093.88
  4. Step 4: Simplify right side
    149,514.75x = 107,645,590,812.52
  5. Step 5: Solve for x
    x = 107,645,590,812.52/149,514.75
  6. Step 6: Final answer
    x = 719,966.36

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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.