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Finding the Third Proportional to 230,014 and 316,735

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Solution

The third proportional to 230,014 and 316,735 is: 436,151.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,014 : 316,735 = 316,735 : x
  2. Step 2: Convert to fraction form
    230,014/316,735 = 316,735/x
  3. Step 3: Cross multiply
    230,014x = 316,735 × 316,735
  4. Step 4: Simplify right side
    230,014x = 100,321,060,225
  5. Step 5: Solve for x
    x = 100,321,060,225/230,014
  6. Step 6: Final answer
    x = 436,151.97

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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.