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Finding the Third Proportional to 128,218.21 and 296,801.96

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Solution

The third proportional to 128,218.21 and 296,801.96 is: 687,042.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,218.21 : 296,801.96 = 296,801.96 : x
  2. Step 2: Convert to fraction form
    128,218.21/296,801.96 = 296,801.96/x
  3. Step 3: Cross multiply
    128,218.21x = 296,801.96 × 296,801.96
  4. Step 4: Simplify right side
    128,218.21x = 88,091,401,117.88
  5. Step 5: Solve for x
    x = 88,091,401,117.88/128,218.21
  6. Step 6: Final answer
    x = 687,042.80

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.