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Finding the Third Proportional to 175,040 and 262,720

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Solution

The third proportional to 175,040 and 262,720 is: 394,320.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,040 : 262,720 = 262,720 : x
  2. Step 2: Convert to fraction form
    175,040/262,720 = 262,720/x
  3. Step 3: Cross multiply
    175,040x = 262,720 × 262,720
  4. Step 4: Simplify right side
    175,040x = 69,021,798,400
  5. Step 5: Solve for x
    x = 69,021,798,400/175,040
  6. Step 6: Final answer
    x = 394,320.15

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