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Finding the Third Proportional to 209,728.69 and 328,089.19

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Solution

The third proportional to 209,728.69 and 328,089.19 is: 513,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,728.69 : 328,089.19 = 328,089.19 : x
  2. Step 2: Convert to fraction form
    209,728.69/328,089.19 = 328,089.19/x
  3. Step 3: Cross multiply
    209,728.69x = 328,089.19 × 328,089.19
  4. Step 4: Simplify right side
    209,728.69x = 107,642,514,954.41
  5. Step 5: Solve for x
    x = 107,642,514,954.41/209,728.69
  6. Step 6: Final answer
    x = 513,246.50

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.