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Finding the Third Proportional to 178,434 and 260,529

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Solution

The third proportional to 178,434 and 260,529 is: 380,394.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,434 : 260,529 = 260,529 : x
  2. Step 2: Convert to fraction form
    178,434/260,529 = 260,529/x
  3. Step 3: Cross multiply
    178,434x = 260,529 × 260,529
  4. Step 4: Simplify right side
    178,434x = 67,875,359,841
  5. Step 5: Solve for x
    x = 67,875,359,841/178,434
  6. Step 6: Final answer
    x = 380,394.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.