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Finding the Third Proportional to 174,857.50 and 313,736

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Solution

The third proportional to 174,857.50 and 313,736 is: 562,917.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,857.50 : 313,736 = 313,736 : x
  2. Step 2: Convert to fraction form
    174,857.50/313,736 = 313,736/x
  3. Step 3: Cross multiply
    174,857.50x = 313,736 × 313,736
  4. Step 4: Simplify right side
    174,857.50x = 98,430,277,696
  5. Step 5: Solve for x
    x = 98,430,277,696/174,857.50
  6. Step 6: Final answer
    x = 562,917.11

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.