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Finding the Third Proportional to 165,176 and 360,689

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Solution

The third proportional to 165,176 and 360,689 is: 787,623.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,176 : 360,689 = 360,689 : x
  2. Step 2: Convert to fraction form
    165,176/360,689 = 360,689/x
  3. Step 3: Cross multiply
    165,176x = 360,689 × 360,689
  4. Step 4: Simplify right side
    165,176x = 130,096,554,721
  5. Step 5: Solve for x
    x = 130,096,554,721/165,176
  6. Step 6: Final answer
    x = 787,623.84

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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.