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Finding the Third Proportional to 165,191 and 360,724

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Solution

The third proportional to 165,191 and 360,724 is: 787,705.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,191 : 360,724 = 360,724 : x
  2. Step 2: Convert to fraction form
    165,191/360,724 = 360,724/x
  3. Step 3: Cross multiply
    165,191x = 360,724 × 360,724
  4. Step 4: Simplify right side
    165,191x = 130,121,804,176
  5. Step 5: Solve for x
    x = 130,121,804,176/165,191
  6. Step 6: Final answer
    x = 787,705.17

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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.