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Finding the Third Proportional to 130,251.75 and 264,123.75

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Solution

The third proportional to 130,251.75 and 264,123.75 is: 535,588.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,251.75 : 264,123.75 = 264,123.75 : x
  2. Step 2: Convert to fraction form
    130,251.75/264,123.75 = 264,123.75/x
  3. Step 3: Cross multiply
    130,251.75x = 264,123.75 × 264,123.75
  4. Step 4: Simplify right side
    130,251.75x = 69,761,355,314.06
  5. Step 5: Solve for x
    x = 69,761,355,314.06/130,251.75
  6. Step 6: Final answer
    x = 535,588.62

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.