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Finding the Third Proportional to 168,040 and 355,758

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Solution

The third proportional to 168,040 and 355,758 is: 753,176.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,040 : 355,758 = 355,758 : x
  2. Step 2: Convert to fraction form
    168,040/355,758 = 355,758/x
  3. Step 3: Cross multiply
    168,040x = 355,758 × 355,758
  4. Step 4: Simplify right side
    168,040x = 126,563,754,564
  5. Step 5: Solve for x
    x = 126,563,754,564/168,040
  6. Step 6: Final answer
    x = 753,176.35

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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.