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Finding the Third Proportional to 174,213 and 263,724

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Solution

The third proportional to 174,213 and 263,724 is: 399,225.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,213 : 263,724 = 263,724 : x
  2. Step 2: Convert to fraction form
    174,213/263,724 = 263,724/x
  3. Step 3: Cross multiply
    174,213x = 263,724 × 263,724
  4. Step 4: Simplify right side
    174,213x = 69,550,348,176
  5. Step 5: Solve for x
    x = 69,550,348,176/174,213
  6. Step 6: Final answer
    x = 399,225.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.