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Finding the Third Proportional to 168,434.44 and 364,907.53

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Solution

The third proportional to 168,434.44 and 364,907.53 is: 790,559.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,434.44 : 364,907.53 = 364,907.53 : x
  2. Step 2: Convert to fraction form
    168,434.44/364,907.53 = 364,907.53/x
  3. Step 3: Cross multiply
    168,434.44x = 364,907.53 × 364,907.53
  4. Step 4: Simplify right side
    168,434.44x = 133,157,506,362.97
  5. Step 5: Solve for x
    x = 133,157,506,362.97/168,434.44
  6. Step 6: Final answer
    x = 790,559.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.