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Finding the Third Proportional to 174,756 and 382,224

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Solution

The third proportional to 174,756 and 382,224 is: 835,995.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,756 : 382,224 = 382,224 : x
  2. Step 2: Convert to fraction form
    174,756/382,224 = 382,224/x
  3. Step 3: Cross multiply
    174,756x = 382,224 × 382,224
  4. Step 4: Simplify right side
    174,756x = 146,095,186,176
  5. Step 5: Solve for x
    x = 146,095,186,176/174,756
  6. Step 6: Final answer
    x = 835,995.25

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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.