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Finding the Third Proportional to 132,468 and 288,732

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Solution

The third proportional to 132,468 and 288,732 is: 629,330.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,468 : 288,732 = 288,732 : x
  2. Step 2: Convert to fraction form
    132,468/288,732 = 288,732/x
  3. Step 3: Cross multiply
    132,468x = 288,732 × 288,732
  4. Step 4: Simplify right side
    132,468x = 83,366,167,824
  5. Step 5: Solve for x
    x = 83,366,167,824/132,468
  6. Step 6: Final answer
    x = 629,330.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.