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Finding the Third Proportional to 132,393 and 288,082

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Solution

The third proportional to 132,393 and 288,082 is: 626,855.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,393 : 288,082 = 288,082 : x
  2. Step 2: Convert to fraction form
    132,393/288,082 = 288,082/x
  3. Step 3: Cross multiply
    132,393x = 288,082 × 288,082
  4. Step 4: Simplify right side
    132,393x = 82,991,238,724
  5. Step 5: Solve for x
    x = 82,991,238,724/132,393
  6. Step 6: Final answer
    x = 626,855.19

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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.