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Finding the Third Proportional to 230,160 and 305,928

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Solution

The third proportional to 230,160 and 305,928 is: 406,638.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,160 : 305,928 = 305,928 : x
  2. Step 2: Convert to fraction form
    230,160/305,928 = 305,928/x
  3. Step 3: Cross multiply
    230,160x = 305,928 × 305,928
  4. Step 4: Simplify right side
    230,160x = 93,591,941,184
  5. Step 5: Solve for x
    x = 93,591,941,184/230,160
  6. Step 6: Final answer
    x = 406,638.60

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.