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Finding the Third Proportional to 112,722 and 238,017

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Solution

The third proportional to 112,722 and 238,017 is: 502,582.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,722 : 238,017 = 238,017 : x
  2. Step 2: Convert to fraction form
    112,722/238,017 = 238,017/x
  3. Step 3: Cross multiply
    112,722x = 238,017 × 238,017
  4. Step 4: Simplify right side
    112,722x = 56,652,092,289
  5. Step 5: Solve for x
    x = 56,652,092,289/112,722
  6. Step 6: Final answer
    x = 502,582.39

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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.