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Finding the Third Proportional to 230,089 and 492,163

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Solution

The third proportional to 230,089 and 492,163 is: 1,052,742.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,089 : 492,163 = 492,163 : x
  2. Step 2: Convert to fraction form
    230,089/492,163 = 492,163/x
  3. Step 3: Cross multiply
    230,089x = 492,163 × 492,163
  4. Step 4: Simplify right side
    230,089x = 242,224,418,569
  5. Step 5: Solve for x
    x = 242,224,418,569/230,089
  6. Step 6: Final answer
    x = 1,052,742.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.