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Finding the Third Proportional to 164,662.88 and 359,447.63

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Solution

The third proportional to 164,662.88 and 359,447.63 is: 784,649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,662.88 : 359,447.63 = 359,447.63 : x
  2. Step 2: Convert to fraction form
    164,662.88/359,447.63 = 359,447.63/x
  3. Step 3: Cross multiply
    164,662.88x = 359,447.63 × 359,447.63
  4. Step 4: Simplify right side
    164,662.88x = 129,202,595,118.14
  5. Step 5: Solve for x
    x = 129,202,595,118.14/164,662.88
  6. Step 6: Final answer
    x = 784,649.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.