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Finding the Third Proportional to 140,203.41 and 308,442.94

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Solution

The third proportional to 140,203.41 and 308,442.94 is: 678,564.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,203.41 : 308,442.94 = 308,442.94 : x
  2. Step 2: Convert to fraction form
    140,203.41/308,442.94 = 308,442.94/x
  3. Step 3: Cross multiply
    140,203.41x = 308,442.94 × 308,442.94
  4. Step 4: Simplify right side
    140,203.41x = 95,137,045,693.63
  5. Step 5: Solve for x
    x = 95,137,045,693.63/140,203.41
  6. Step 6: Final answer
    x = 678,564.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.