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Finding the Third Proportional to 175,076 and 262,550

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Solution

The third proportional to 175,076 and 262,550 is: 393,729.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,076 : 262,550 = 262,550 : x
  2. Step 2: Convert to fraction form
    175,076/262,550 = 262,550/x
  3. Step 3: Cross multiply
    175,076x = 262,550 × 262,550
  4. Step 4: Simplify right side
    175,076x = 68,932,502,500
  5. Step 5: Solve for x
    x = 68,932,502,500/175,076
  6. Step 6: Final answer
    x = 393,729.02

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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.