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Finding the Third Proportional to 127,516.50 and 264,244.50

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Solution

The third proportional to 127,516.50 and 264,244.50 is: 547,577.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,516.50 : 264,244.50 = 264,244.50 : x
  2. Step 2: Convert to fraction form
    127,516.50/264,244.50 = 264,244.50/x
  3. Step 3: Cross multiply
    127,516.50x = 264,244.50 × 264,244.50
  4. Step 4: Simplify right side
    127,516.50x = 69,825,155,780.25
  5. Step 5: Solve for x
    x = 69,825,155,780.25/127,516.50
  6. Step 6: Final answer
    x = 547,577.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.