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Finding the Third Proportional to 368,145 and 492,621.75

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Solution

The third proportional to 368,145 and 492,621.75 is: 659,186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,145 : 492,621.75 = 492,621.75 : x
  2. Step 2: Convert to fraction form
    368,145/492,621.75 = 492,621.75/x
  3. Step 3: Cross multiply
    368,145x = 492,621.75 × 492,621.75
  4. Step 4: Simplify right side
    368,145x = 242,676,188,573.06
  5. Step 5: Solve for x
    x = 242,676,188,573.06/368,145
  6. Step 6: Final answer
    x = 659,186.43

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.