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Finding the Third Proportional to 119,176 and 260,054

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Solution

The third proportional to 119,176 and 260,054 is: 567,463.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,176 : 260,054 = 260,054 : x
  2. Step 2: Convert to fraction form
    119,176/260,054 = 260,054/x
  3. Step 3: Cross multiply
    119,176x = 260,054 × 260,054
  4. Step 4: Simplify right side
    119,176x = 67,628,082,916
  5. Step 5: Solve for x
    x = 67,628,082,916/119,176
  6. Step 6: Final answer
    x = 567,463.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.