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Finding the Third Proportional to 130,615.50 and 266,766

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Solution

The third proportional to 130,615.50 and 266,766 is: 544,836.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,615.50 : 266,766 = 266,766 : x
  2. Step 2: Convert to fraction form
    130,615.50/266,766 = 266,766/x
  3. Step 3: Cross multiply
    130,615.50x = 266,766 × 266,766
  4. Step 4: Simplify right side
    130,615.50x = 71,164,098,756
  5. Step 5: Solve for x
    x = 71,164,098,756/130,615.50
  6. Step 6: Final answer
    x = 544,836.55

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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.