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Finding the Third Proportional to 209,700.75 and 320,650.13

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Solution

The third proportional to 209,700.75 and 320,650.13 is: 490,301.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,700.75 : 320,650.13 = 320,650.13 : x
  2. Step 2: Convert to fraction form
    209,700.75/320,650.13 = 320,650.13/x
  3. Step 3: Cross multiply
    209,700.75x = 320,650.13 × 320,650.13
  4. Step 4: Simplify right side
    209,700.75x = 102,816,502,662.52
  5. Step 5: Solve for x
    x = 102,816,502,662.52/209,700.75
  6. Step 6: Final answer
    x = 490,301.07

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.