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Finding the Third Proportional to 175,149 and 384,210

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Solution

The third proportional to 175,149 and 384,210 is: 842,809.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,149 : 384,210 = 384,210 : x
  2. Step 2: Convert to fraction form
    175,149/384,210 = 384,210/x
  3. Step 3: Cross multiply
    175,149x = 384,210 × 384,210
  4. Step 4: Simplify right side
    175,149x = 147,617,324,100
  5. Step 5: Solve for x
    x = 147,617,324,100/175,149
  6. Step 6: Final answer
    x = 842,809.97

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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.