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Finding the Third Proportional to 113,214 and 237,444

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Solution

The third proportional to 113,214 and 237,444 is: 497,991.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,214 : 237,444 = 237,444 : x
  2. Step 2: Convert to fraction form
    113,214/237,444 = 237,444/x
  3. Step 3: Cross multiply
    113,214x = 237,444 × 237,444
  4. Step 4: Simplify right side
    113,214x = 56,379,653,136
  5. Step 5: Solve for x
    x = 56,379,653,136/113,214
  6. Step 6: Final answer
    x = 497,991.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.