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Finding the Third Proportional to 132,416.44 and 289,423.13

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Solution

The third proportional to 132,416.44 and 289,423.13 is: 632,593.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,416.44 : 289,423.13 = 289,423.13 : x
  2. Step 2: Convert to fraction form
    132,416.44/289,423.13 = 289,423.13/x
  3. Step 3: Cross multiply
    132,416.44x = 289,423.13 × 289,423.13
  4. Step 4: Simplify right side
    132,416.44x = 83,765,745,284.77
  5. Step 5: Solve for x
    x = 83,765,745,284.77/132,416.44
  6. Step 6: Final answer
    x = 632,593.26

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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.