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Finding the Third Proportional to 196,176 and 310,848

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Solution

The third proportional to 196,176 and 310,848 is: 492,549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,176 : 310,848 = 310,848 : x
  2. Step 2: Convert to fraction form
    196,176/310,848 = 310,848/x
  3. Step 3: Cross multiply
    196,176x = 310,848 × 310,848
  4. Step 4: Simplify right side
    196,176x = 96,626,479,104
  5. Step 5: Solve for x
    x = 96,626,479,104/196,176
  6. Step 6: Final answer
    x = 492,549.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.