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Finding the Third Proportional to 112,970 and 244,536

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Solution

The third proportional to 112,970 and 244,536 is: 529,325.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,970 : 244,536 = 244,536 : x
  2. Step 2: Convert to fraction form
    112,970/244,536 = 244,536/x
  3. Step 3: Cross multiply
    112,970x = 244,536 × 244,536
  4. Step 4: Simplify right side
    112,970x = 59,797,855,296
  5. Step 5: Solve for x
    x = 59,797,855,296/112,970
  6. Step 6: Final answer
    x = 529,325.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.