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Finding the Third Proportional to 132,226 and 290,576

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Solution

The third proportional to 132,226 and 290,576 is: 638,561.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,226 : 290,576 = 290,576 : x
  2. Step 2: Convert to fraction form
    132,226/290,576 = 290,576/x
  3. Step 3: Cross multiply
    132,226x = 290,576 × 290,576
  4. Step 4: Simplify right side
    132,226x = 84,434,411,776
  5. Step 5: Solve for x
    x = 84,434,411,776/132,226
  6. Step 6: Final answer
    x = 638,561.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.