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Finding the Third Proportional to 127,235 and 264,934

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Solution

The third proportional to 127,235 and 264,934 is: 551,656.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,235 : 264,934 = 264,934 : x
  2. Step 2: Convert to fraction form
    127,235/264,934 = 264,934/x
  3. Step 3: Cross multiply
    127,235x = 264,934 × 264,934
  4. Step 4: Simplify right side
    127,235x = 70,190,024,356
  5. Step 5: Solve for x
    x = 70,190,024,356/127,235
  6. Step 6: Final answer
    x = 551,656.58

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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.