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Finding the Third Proportional to 165,110 and 361,862

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Solution

The third proportional to 165,110 and 361,862 is: 793,071.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,110 : 361,862 = 361,862 : x
  2. Step 2: Convert to fraction form
    165,110/361,862 = 361,862/x
  3. Step 3: Cross multiply
    165,110x = 361,862 × 361,862
  4. Step 4: Simplify right side
    165,110x = 130,944,107,044
  5. Step 5: Solve for x
    x = 130,944,107,044/165,110
  6. Step 6: Final answer
    x = 793,071.93

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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.