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Finding the Third Proportional to 133,064 and 284,576

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Solution

The third proportional to 133,064 and 284,576 is: 608,605.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,064 : 284,576 = 284,576 : x
  2. Step 2: Convert to fraction form
    133,064/284,576 = 284,576/x
  3. Step 3: Cross multiply
    133,064x = 284,576 × 284,576
  4. Step 4: Simplify right side
    133,064x = 80,983,499,776
  5. Step 5: Solve for x
    x = 80,983,499,776/133,064
  6. Step 6: Final answer
    x = 608,605.63

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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.