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Finding the Third Proportional to 229,236.33 and 316,739.74

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Solution

The third proportional to 229,236.33 and 316,739.74 is: 437,644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,236.33 : 316,739.74 = 316,739.74 : x
  2. Step 2: Convert to fraction form
    229,236.33/316,739.74 = 316,739.74/x
  3. Step 3: Cross multiply
    229,236.33x = 316,739.74 × 316,739.74
  4. Step 4: Simplify right side
    229,236.33x = 100,324,064,281.00
  5. Step 5: Solve for x
    x = 100,324,064,281.00/229,236.33
  6. Step 6: Final answer
    x = 437,644.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.