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Finding the Third Proportional to 133,322 and 292,576

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Solution

The third proportional to 133,322 and 292,576 is: 642,059.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,322 : 292,576 = 292,576 : x
  2. Step 2: Convert to fraction form
    133,322/292,576 = 292,576/x
  3. Step 3: Cross multiply
    133,322x = 292,576 × 292,576
  4. Step 4: Simplify right side
    133,322x = 85,600,715,776
  5. Step 5: Solve for x
    x = 85,600,715,776/133,322
  6. Step 6: Final answer
    x = 642,059.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.