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Finding the Third Proportional to 104,620.50 and 226,953

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Solution

The third proportional to 104,620.50 and 226,953 is: 492,328.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,620.50 : 226,953 = 226,953 : x
  2. Step 2: Convert to fraction form
    104,620.50/226,953 = 226,953/x
  3. Step 3: Cross multiply
    104,620.50x = 226,953 × 226,953
  4. Step 4: Simplify right side
    104,620.50x = 51,507,664,209
  5. Step 5: Solve for x
    x = 51,507,664,209/104,620.50
  6. Step 6: Final answer
    x = 492,328.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.