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Finding the Third Proportional to 92,480 and 196,480

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Solution

The third proportional to 92,480 and 196,480 is: 417,435.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,480 : 196,480 = 196,480 : x
  2. Step 2: Convert to fraction form
    92,480/196,480 = 196,480/x
  3. Step 3: Cross multiply
    92,480x = 196,480 × 196,480
  4. Step 4: Simplify right side
    92,480x = 38,604,390,400
  5. Step 5: Solve for x
    x = 38,604,390,400/92,480
  6. Step 6: Final answer
    x = 417,435.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.