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Finding the Third Proportional to 132,962 and 289,732

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Solution

The third proportional to 132,962 and 289,732 is: 631,343.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,962 : 289,732 = 289,732 : x
  2. Step 2: Convert to fraction form
    132,962/289,732 = 289,732/x
  3. Step 3: Cross multiply
    132,962x = 289,732 × 289,732
  4. Step 4: Simplify right side
    132,962x = 83,944,631,824
  5. Step 5: Solve for x
    x = 83,944,631,824/132,962
  6. Step 6: Final answer
    x = 631,343.03

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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.