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Finding the Third Proportional to 209,953.69 and 318,818.53

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Solution

The third proportional to 209,953.69 and 318,818.53 is: 484,131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,953.69 : 318,818.53 = 318,818.53 : x
  2. Step 2: Convert to fraction form
    209,953.69/318,818.53 = 318,818.53/x
  3. Step 3: Cross multiply
    209,953.69x = 318,818.53 × 318,818.53
  4. Step 4: Simplify right side
    209,953.69x = 101,645,255,868.41
  5. Step 5: Solve for x
    x = 101,645,255,868.41/209,953.69
  6. Step 6: Final answer
    x = 484,131.80

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.