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Finding the Third Proportional to 116,566 and 255,548

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Solution

The third proportional to 116,566 and 255,548 is: 560,238.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,566 : 255,548 = 255,548 : x
  2. Step 2: Convert to fraction form
    116,566/255,548 = 255,548/x
  3. Step 3: Cross multiply
    116,566x = 255,548 × 255,548
  4. Step 4: Simplify right side
    116,566x = 65,304,780,304
  5. Step 5: Solve for x
    x = 65,304,780,304/116,566
  6. Step 6: Final answer
    x = 560,238.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.