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Finding the Third Proportional to 165,083 and 262,603

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Solution

The third proportional to 165,083 and 262,603 is: 417,731.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,083 : 262,603 = 262,603 : x
  2. Step 2: Convert to fraction form
    165,083/262,603 = 262,603/x
  3. Step 3: Cross multiply
    165,083x = 262,603 × 262,603
  4. Step 4: Simplify right side
    165,083x = 68,960,335,609
  5. Step 5: Solve for x
    x = 68,960,335,609/165,083
  6. Step 6: Final answer
    x = 417,731.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.