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Finding the Third Proportional to 101,399 and 234,730

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Solution

The third proportional to 101,399 and 234,730 is: 543,379.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,399 : 234,730 = 234,730 : x
  2. Step 2: Convert to fraction form
    101,399/234,730 = 234,730/x
  3. Step 3: Cross multiply
    101,399x = 234,730 × 234,730
  4. Step 4: Simplify right side
    101,399x = 55,098,172,900
  5. Step 5: Solve for x
    x = 55,098,172,900/101,399
  6. Step 6: Final answer
    x = 543,379.84

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.