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Finding the Third Proportional to 140,852 and 309,352

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Solution

The third proportional to 140,852 and 309,352 is: 679,427.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,852 : 309,352 = 309,352 : x
  2. Step 2: Convert to fraction form
    140,852/309,352 = 309,352/x
  3. Step 3: Cross multiply
    140,852x = 309,352 × 309,352
  4. Step 4: Simplify right side
    140,852x = 95,698,659,904
  5. Step 5: Solve for x
    x = 95,698,659,904/140,852
  6. Step 6: Final answer
    x = 679,427.06

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