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Finding the Third Proportional to 165,766 and 354,798

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Solution

The third proportional to 165,766 and 354,798 is: 759,393.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,766 : 354,798 = 354,798 : x
  2. Step 2: Convert to fraction form
    165,766/354,798 = 354,798/x
  3. Step 3: Cross multiply
    165,766x = 354,798 × 354,798
  4. Step 4: Simplify right side
    165,766x = 125,881,620,804
  5. Step 5: Solve for x
    x = 125,881,620,804/165,766
  6. Step 6: Final answer
    x = 759,393.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.