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Finding the Third Proportional to 230,008 and 316,726

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Solution

The third proportional to 230,008 and 316,726 is: 436,138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,008 : 316,726 = 316,726 : x
  2. Step 2: Convert to fraction form
    230,008/316,726 = 316,726/x
  3. Step 3: Cross multiply
    230,008x = 316,726 × 316,726
  4. Step 4: Simplify right side
    230,008x = 100,315,359,076
  5. Step 5: Solve for x
    x = 100,315,359,076/230,008
  6. Step 6: Final answer
    x = 436,138.57

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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.