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Finding the Third Proportional to 165,195 and 360,732

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Solution

The third proportional to 165,195 and 360,732 is: 787,721.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,195 : 360,732 = 360,732 : x
  2. Step 2: Convert to fraction form
    165,195/360,732 = 360,732/x
  3. Step 3: Cross multiply
    165,195x = 360,732 × 360,732
  4. Step 4: Simplify right side
    165,195x = 130,127,575,824
  5. Step 5: Solve for x
    x = 130,127,575,824/165,195
  6. Step 6: Final answer
    x = 787,721.03

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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.