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Finding the Third Proportional to 182,495 and 244,111

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Solution

The third proportional to 182,495 and 244,111 is: 326,530.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,495 : 244,111 = 244,111 : x
  2. Step 2: Convert to fraction form
    182,495/244,111 = 244,111/x
  3. Step 3: Cross multiply
    182,495x = 244,111 × 244,111
  4. Step 4: Simplify right side
    182,495x = 59,590,180,321
  5. Step 5: Solve for x
    x = 59,590,180,321/182,495
  6. Step 6: Final answer
    x = 326,530.48

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.