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Finding the Third Proportional to 165,614.63 and 359,235

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Solution

The third proportional to 165,614.63 and 359,235 is: 779,217.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,614.63 : 359,235 = 359,235 : x
  2. Step 2: Convert to fraction form
    165,614.63/359,235 = 359,235/x
  3. Step 3: Cross multiply
    165,614.63x = 359,235 × 359,235
  4. Step 4: Simplify right side
    165,614.63x = 129,049,785,225
  5. Step 5: Solve for x
    x = 129,049,785,225/165,614.63
  6. Step 6: Final answer
    x = 779,217.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.