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Finding the Third Proportional to 174,551 and 380,205

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Solution

The third proportional to 174,551 and 380,205 is: 828,158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,551 : 380,205 = 380,205 : x
  2. Step 2: Convert to fraction form
    174,551/380,205 = 380,205/x
  3. Step 3: Cross multiply
    174,551x = 380,205 × 380,205
  4. Step 4: Simplify right side
    174,551x = 144,555,842,025
  5. Step 5: Solve for x
    x = 144,555,842,025/174,551
  6. Step 6: Final answer
    x = 828,158.20

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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.