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Finding the Third Proportional to 174,263 and 260,701

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Solution

The third proportional to 174,263 and 260,701 is: 390,014.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,263 : 260,701 = 260,701 : x
  2. Step 2: Convert to fraction form
    174,263/260,701 = 260,701/x
  3. Step 3: Cross multiply
    174,263x = 260,701 × 260,701
  4. Step 4: Simplify right side
    174,263x = 67,965,011,401
  5. Step 5: Solve for x
    x = 67,965,011,401/174,263
  6. Step 6: Final answer
    x = 390,014.01

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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.