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Finding the Third Proportional to 111,156 and 243,917

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Solution

The third proportional to 111,156 and 243,917 is: 535,243.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,156 : 243,917 = 243,917 : x
  2. Step 2: Convert to fraction form
    111,156/243,917 = 243,917/x
  3. Step 3: Cross multiply
    111,156x = 243,917 × 243,917
  4. Step 4: Simplify right side
    111,156x = 59,495,502,889
  5. Step 5: Solve for x
    x = 59,495,502,889/111,156
  6. Step 6: Final answer
    x = 535,243.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.