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Finding the Third Proportional to 196,684.13 and 303,714

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Solution

The third proportional to 196,684.13 and 303,714 is: 468,986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,684.13 : 303,714 = 303,714 : x
  2. Step 2: Convert to fraction form
    196,684.13/303,714 = 303,714/x
  3. Step 3: Cross multiply
    196,684.13x = 303,714 × 303,714
  4. Step 4: Simplify right side
    196,684.13x = 92,242,193,796
  5. Step 5: Solve for x
    x = 92,242,193,796/196,684.13
  6. Step 6: Final answer
    x = 468,986.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.