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Finding the Third Proportional to 165,969 and 360,038.25

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Solution

The third proportional to 165,969 and 360,038.25 is: 781,034.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,969 : 360,038.25 = 360,038.25 : x
  2. Step 2: Convert to fraction form
    165,969/360,038.25 = 360,038.25/x
  3. Step 3: Cross multiply
    165,969x = 360,038.25 × 360,038.25
  4. Step 4: Simplify right side
    165,969x = 129,627,541,463.06
  5. Step 5: Solve for x
    x = 129,627,541,463.06/165,969
  6. Step 6: Final answer
    x = 781,034.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.