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Finding the Third Proportional to 95,280 and 214,836

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Solution

The third proportional to 95,280 and 214,836 is: 484,409.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,280 : 214,836 = 214,836 : x
  2. Step 2: Convert to fraction form
    95,280/214,836 = 214,836/x
  3. Step 3: Cross multiply
    95,280x = 214,836 × 214,836
  4. Step 4: Simplify right side
    95,280x = 46,154,506,896
  5. Step 5: Solve for x
    x = 46,154,506,896/95,280
  6. Step 6: Final answer
    x = 484,409.18

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.