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Finding the Third Proportional to 165,609 and 359,224

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Solution

The third proportional to 165,609 and 359,224 is: 779,196.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,609 : 359,224 = 359,224 : x
  2. Step 2: Convert to fraction form
    165,609/359,224 = 359,224/x
  3. Step 3: Cross multiply
    165,609x = 359,224 × 359,224
  4. Step 4: Simplify right side
    165,609x = 129,041,882,176
  5. Step 5: Solve for x
    x = 129,041,882,176/165,609
  6. Step 6: Final answer
    x = 779,196.07

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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.