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Finding the Third Proportional to 119,424 and 251,807

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Solution

The third proportional to 119,424 and 251,807 is: 530,938.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,424 : 251,807 = 251,807 : x
  2. Step 2: Convert to fraction form
    119,424/251,807 = 251,807/x
  3. Step 3: Cross multiply
    119,424x = 251,807 × 251,807
  4. Step 4: Simplify right side
    119,424x = 63,406,765,249
  5. Step 5: Solve for x
    x = 63,406,765,249/119,424
  6. Step 6: Final answer
    x = 530,938.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.