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Finding the Third Proportional to 168,030 and 355,731.75

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Solution

The third proportional to 168,030 and 355,731.75 is: 753,110.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,030 : 355,731.75 = 355,731.75 : x
  2. Step 2: Convert to fraction form
    168,030/355,731.75 = 355,731.75/x
  3. Step 3: Cross multiply
    168,030x = 355,731.75 × 355,731.75
  4. Step 4: Simplify right side
    168,030x = 126,545,077,958.06
  5. Step 5: Solve for x
    x = 126,545,077,958.06/168,030
  6. Step 6: Final answer
    x = 753,110.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.