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Finding the Third Proportional to 132,388.50 and 288,073

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Solution

The third proportional to 132,388.50 and 288,073 is: 626,837.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,388.50 : 288,073 = 288,073 : x
  2. Step 2: Convert to fraction form
    132,388.50/288,073 = 288,073/x
  3. Step 3: Cross multiply
    132,388.50x = 288,073 × 288,073
  4. Step 4: Simplify right side
    132,388.50x = 82,986,053,329
  5. Step 5: Solve for x
    x = 82,986,053,329/132,388.50
  6. Step 6: Final answer
    x = 626,837.33

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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.