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Finding the Third Proportional to 140,686.88 and 308,057.34

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Solution

The third proportional to 140,686.88 and 308,057.34 is: 674,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,686.88 : 308,057.34 = 308,057.34 : x
  2. Step 2: Convert to fraction form
    140,686.88/308,057.34 = 308,057.34/x
  3. Step 3: Cross multiply
    140,686.88x = 308,057.34 × 308,057.34
  4. Step 4: Simplify right side
    140,686.88x = 94,899,327,038.31
  5. Step 5: Solve for x
    x = 94,899,327,038.31/140,686.88
  6. Step 6: Final answer
    x = 674,542.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.