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Finding the Third Proportional to 175,012 and 264,120

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Solution

The third proportional to 175,012 and 264,120 is: 398,597.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,012 : 264,120 = 264,120 : x
  2. Step 2: Convert to fraction form
    175,012/264,120 = 264,120/x
  3. Step 3: Cross multiply
    175,012x = 264,120 × 264,120
  4. Step 4: Simplify right side
    175,012x = 69,759,374,400
  5. Step 5: Solve for x
    x = 69,759,374,400/175,012
  6. Step 6: Final answer
    x = 398,597.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.