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Finding the Third Proportional to 130,615 and 266,764

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Solution

The third proportional to 130,615 and 266,764 is: 544,830.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,615 : 266,764 = 266,764 : x
  2. Step 2: Convert to fraction form
    130,615/266,764 = 266,764/x
  3. Step 3: Cross multiply
    130,615x = 266,764 × 266,764
  4. Step 4: Simplify right side
    130,615x = 71,163,031,696
  5. Step 5: Solve for x
    x = 71,163,031,696/130,615
  6. Step 6: Final answer
    x = 544,830.47

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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.