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Finding the Third Proportional to 209,764.69 and 320,742.28

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Solution

The third proportional to 209,764.69 and 320,742.28 is: 490,433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,764.69 : 320,742.28 = 320,742.28 : x
  2. Step 2: Convert to fraction form
    209,764.69/320,742.28 = 320,742.28/x
  3. Step 3: Cross multiply
    209,764.69x = 320,742.28 × 320,742.28
  4. Step 4: Simplify right side
    209,764.69x = 102,875,610,981.45
  5. Step 5: Solve for x
    x = 102,875,610,981.45/209,764.69
  6. Step 6: Final answer
    x = 490,433.41

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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.