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Finding the Third Proportional to 127,507 and 264,227

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Solution

The third proportional to 127,507 and 264,227 is: 547,545.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,507 : 264,227 = 264,227 : x
  2. Step 2: Convert to fraction form
    127,507/264,227 = 264,227/x
  3. Step 3: Cross multiply
    127,507x = 264,227 × 264,227
  4. Step 4: Simplify right side
    127,507x = 69,815,907,529
  5. Step 5: Solve for x
    x = 69,815,907,529/127,507
  6. Step 6: Final answer
    x = 547,545.68

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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.