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Finding the Third Proportional to 165,038 and 360,988

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Solution

The third proportional to 165,038 and 360,988 is: 789,589.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,038 : 360,988 = 360,988 : x
  2. Step 2: Convert to fraction form
    165,038/360,988 = 360,988/x
  3. Step 3: Cross multiply
    165,038x = 360,988 × 360,988
  4. Step 4: Simplify right side
    165,038x = 130,312,336,144
  5. Step 5: Solve for x
    x = 130,312,336,144/165,038
  6. Step 6: Final answer
    x = 789,589.89

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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.