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Finding the Third Proportional to 165,740 and 262,854

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Solution

The third proportional to 165,740 and 262,854 is: 416,871.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,740 : 262,854 = 262,854 : x
  2. Step 2: Convert to fraction form
    165,740/262,854 = 262,854/x
  3. Step 3: Cross multiply
    165,740x = 262,854 × 262,854
  4. Step 4: Simplify right side
    165,740x = 69,092,225,316
  5. Step 5: Solve for x
    x = 69,092,225,316/165,740
  6. Step 6: Final answer
    x = 416,871.16

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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.