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Finding the Third Proportional to 268,998 and 412,142.25

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Solution

The third proportional to 268,998 and 412,142.25 is: 631,459.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,998 : 412,142.25 = 412,142.25 : x
  2. Step 2: Convert to fraction form
    268,998/412,142.25 = 412,142.25/x
  3. Step 3: Cross multiply
    268,998x = 412,142.25 × 412,142.25
  4. Step 4: Simplify right side
    268,998x = 169,861,234,235.06
  5. Step 5: Solve for x
    x = 169,861,234,235.06/268,998
  6. Step 6: Final answer
    x = 631,459.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.