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Finding the Third Proportional to 165,067 and 249,331

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Solution

The third proportional to 165,067 and 249,331 is: 376,610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,067 : 249,331 = 249,331 : x
  2. Step 2: Convert to fraction form
    165,067/249,331 = 249,331/x
  3. Step 3: Cross multiply
    165,067x = 249,331 × 249,331
  4. Step 4: Simplify right side
    165,067x = 62,165,947,561
  5. Step 5: Solve for x
    x = 62,165,947,561/165,067
  6. Step 6: Final answer
    x = 376,610.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.