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Finding the Third Proportional to 165,168 and 361,584

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Solution

The third proportional to 165,168 and 361,584 is: 791,575.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,168 : 361,584 = 361,584 : x
  2. Step 2: Convert to fraction form
    165,168/361,584 = 361,584/x
  3. Step 3: Cross multiply
    165,168x = 361,584 × 361,584
  4. Step 4: Simplify right side
    165,168x = 130,742,989,056
  5. Step 5: Solve for x
    x = 130,742,989,056/165,168
  6. Step 6: Final answer
    x = 791,575.78

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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.