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Finding the Third Proportional to 130,614 and 266,763

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Solution

The third proportional to 130,614 and 266,763 is: 544,830.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,614 : 266,763 = 266,763 : x
  2. Step 2: Convert to fraction form
    130,614/266,763 = 266,763/x
  3. Step 3: Cross multiply
    130,614x = 266,763 × 266,763
  4. Step 4: Simplify right side
    130,614x = 71,162,498,169
  5. Step 5: Solve for x
    x = 71,162,498,169/130,614
  6. Step 6: Final answer
    x = 544,830.56

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.