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Finding the Third Proportional to 230,108 and 492,998

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Solution

The third proportional to 230,108 and 492,998 is: 1,056,230.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,108 : 492,998 = 492,998 : x
  2. Step 2: Convert to fraction form
    230,108/492,998 = 492,998/x
  3. Step 3: Cross multiply
    230,108x = 492,998 × 492,998
  4. Step 4: Simplify right side
    230,108x = 243,047,028,004
  5. Step 5: Solve for x
    x = 243,047,028,004/230,108
  6. Step 6: Final answer
    x = 1,056,230.24

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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.