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Finding the Third Proportional to 165,159 and 360,288

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Solution

The third proportional to 165,159 and 360,288 is: 785,954.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,159 : 360,288 = 360,288 : x
  2. Step 2: Convert to fraction form
    165,159/360,288 = 360,288/x
  3. Step 3: Cross multiply
    165,159x = 360,288 × 360,288
  4. Step 4: Simplify right side
    165,159x = 129,807,442,944
  5. Step 5: Solve for x
    x = 129,807,442,944/165,159
  6. Step 6: Final answer
    x = 785,954.40

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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.