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Finding the Third Proportional to 175,051 and 262,522

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Solution

The third proportional to 175,051 and 262,522 is: 393,701.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,051 : 262,522 = 262,522 : x
  2. Step 2: Convert to fraction form
    175,051/262,522 = 262,522/x
  3. Step 3: Cross multiply
    175,051x = 262,522 × 262,522
  4. Step 4: Simplify right side
    175,051x = 68,917,800,484
  5. Step 5: Solve for x
    x = 68,917,800,484/175,051
  6. Step 6: Final answer
    x = 393,701.27

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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.