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Finding the Third Proportional to 122,176 and 262,432

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Solution

The third proportional to 122,176 and 262,432 is: 563,699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,176 : 262,432 = 262,432 : x
  2. Step 2: Convert to fraction form
    122,176/262,432 = 262,432/x
  3. Step 3: Cross multiply
    122,176x = 262,432 × 262,432
  4. Step 4: Simplify right side
    122,176x = 68,870,554,624
  5. Step 5: Solve for x
    x = 68,870,554,624/122,176
  6. Step 6: Final answer
    x = 563,699.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.