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Finding the Third Proportional to 101,108 and 238,595

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Solution

The third proportional to 101,108 and 238,595 is: 563,037.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,108 : 238,595 = 238,595 : x
  2. Step 2: Convert to fraction form
    101,108/238,595 = 238,595/x
  3. Step 3: Cross multiply
    101,108x = 238,595 × 238,595
  4. Step 4: Simplify right side
    101,108x = 56,927,574,025
  5. Step 5: Solve for x
    x = 56,927,574,025/101,108
  6. Step 6: Final answer
    x = 563,037.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.