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Finding the Third Proportional to 132,289.03 and 289,909.97

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Solution

The third proportional to 132,289.03 and 289,909.97 is: 635,334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,289.03 : 289,909.97 = 289,909.97 : x
  2. Step 2: Convert to fraction form
    132,289.03/289,909.97 = 289,909.97/x
  3. Step 3: Cross multiply
    132,289.03x = 289,909.97 × 289,909.97
  4. Step 4: Simplify right side
    132,289.03x = 84,047,789,980.63
  5. Step 5: Solve for x
    x = 84,047,789,980.63/132,289.03
  6. Step 6: Final answer
    x = 635,334.53

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Why These Related Problems?

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