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Finding the Third Proportional to 209,953.50 and 318,818.25

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Solution

The third proportional to 209,953.50 and 318,818.25 is: 484,131.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,953.50 : 318,818.25 = 318,818.25 : x
  2. Step 2: Convert to fraction form
    209,953.50/318,818.25 = 318,818.25/x
  3. Step 3: Cross multiply
    209,953.50x = 318,818.25 × 318,818.25
  4. Step 4: Simplify right side
    209,953.50x = 101,645,076,533.06
  5. Step 5: Solve for x
    x = 101,645,076,533.06/209,953.50
  6. Step 6: Final answer
    x = 484,131.37

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Why These Related Problems?

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