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Finding the Third Proportional to 101,537 and 234,018

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Solution

The third proportional to 101,537 and 234,018 is: 539,354.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,537 : 234,018 = 234,018 : x
  2. Step 2: Convert to fraction form
    101,537/234,018 = 234,018/x
  3. Step 3: Cross multiply
    101,537x = 234,018 × 234,018
  4. Step 4: Simplify right side
    101,537x = 54,764,424,324
  5. Step 5: Solve for x
    x = 54,764,424,324/101,537
  6. Step 6: Final answer
    x = 539,354.37

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.