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Finding the Third Proportional to 196,985.25 and 305,602.88

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Solution

The third proportional to 196,985.25 and 305,602.88 is: 474,112.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,985.25 : 305,602.88 = 305,602.88 : x
  2. Step 2: Convert to fraction form
    196,985.25/305,602.88 = 305,602.88/x
  3. Step 3: Cross multiply
    196,985.25x = 305,602.88 × 305,602.88
  4. Step 4: Simplify right side
    196,985.25x = 93,393,117,208.27
  5. Step 5: Solve for x
    x = 93,393,117,208.27/196,985.25
  6. Step 6: Final answer
    x = 474,112.24

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.