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Finding the Third Proportional to 163,576.13 and 353,421.56

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Solution

The third proportional to 163,576.13 and 353,421.56 is: 763,600.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,576.13 : 353,421.56 = 353,421.56 : x
  2. Step 2: Convert to fraction form
    163,576.13/353,421.56 = 353,421.56/x
  3. Step 3: Cross multiply
    163,576.13x = 353,421.56 × 353,421.56
  4. Step 4: Simplify right side
    163,576.13x = 124,906,800,839.94
  5. Step 5: Solve for x
    x = 124,906,800,839.94/163,576.13
  6. Step 6: Final answer
    x = 763,600.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.