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Finding the Third Proportional to 165,325 and 247,345

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Solution

The third proportional to 165,325 and 247,345 is: 370,056.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,325 : 247,345 = 247,345 : x
  2. Step 2: Convert to fraction form
    165,325/247,345 = 247,345/x
  3. Step 3: Cross multiply
    165,325x = 247,345 × 247,345
  4. Step 4: Simplify right side
    165,325x = 61,179,549,025
  5. Step 5: Solve for x
    x = 61,179,549,025/165,325
  6. Step 6: Final answer
    x = 370,056.25

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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.