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Finding the Third Proportional to 209,170.50 and 314,232

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Solution

The third proportional to 209,170.50 and 314,232 is: 472,063.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,170.50 : 314,232 = 314,232 : x
  2. Step 2: Convert to fraction form
    209,170.50/314,232 = 314,232/x
  3. Step 3: Cross multiply
    209,170.50x = 314,232 × 314,232
  4. Step 4: Simplify right side
    209,170.50x = 98,741,749,824
  5. Step 5: Solve for x
    x = 98,741,749,824/209,170.50
  6. Step 6: Final answer
    x = 472,063.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.