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Finding the Third Proportional to 127,281.38 and 264,902.06

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Solution

The third proportional to 127,281.38 and 264,902.06 is: 551,322.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,281.38 : 264,902.06 = 264,902.06 : x
  2. Step 2: Convert to fraction form
    127,281.38/264,902.06 = 264,902.06/x
  3. Step 3: Cross multiply
    127,281.38x = 264,902.06 × 264,902.06
  4. Step 4: Simplify right side
    127,281.38x = 70,173,102,716.75
  5. Step 5: Solve for x
    x = 70,173,102,716.75/127,281.38
  6. Step 6: Final answer
    x = 551,322.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.