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Finding the Third Proportional to 209,803.50 and 322,668

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Solution

The third proportional to 209,803.50 and 322,668 is: 496,248.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,803.50 : 322,668 = 322,668 : x
  2. Step 2: Convert to fraction form
    209,803.50/322,668 = 322,668/x
  3. Step 3: Cross multiply
    209,803.50x = 322,668 × 322,668
  4. Step 4: Simplify right side
    209,803.50x = 104,114,638,224
  5. Step 5: Solve for x
    x = 104,114,638,224/209,803.50
  6. Step 6: Final answer
    x = 496,248.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.