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Finding the Third Proportional to 165,702.38 and 259,216.88

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Solution

The third proportional to 165,702.38 and 259,216.88 is: 405,506.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,702.38 : 259,216.88 = 259,216.88 : x
  2. Step 2: Convert to fraction form
    165,702.38/259,216.88 = 259,216.88/x
  3. Step 3: Cross multiply
    165,702.38x = 259,216.88 × 259,216.88
  4. Step 4: Simplify right side
    165,702.38x = 67,193,388,284.77
  5. Step 5: Solve for x
    x = 67,193,388,284.77/165,702.38
  6. Step 6: Final answer
    x = 405,506.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.