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Finding the Third Proportional to 165,311 and 247,325.25

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Solution

The third proportional to 165,311 and 247,325.25 is: 370,028.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,311 : 247,325.25 = 247,325.25 : x
  2. Step 2: Convert to fraction form
    165,311/247,325.25 = 247,325.25/x
  3. Step 3: Cross multiply
    165,311x = 247,325.25 × 247,325.25
  4. Step 4: Simplify right side
    165,311x = 61,169,779,287.56
  5. Step 5: Solve for x
    x = 61,169,779,287.56/165,311
  6. Step 6: Final answer
    x = 370,028.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.