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Finding the Third Proportional to 113,838 and 244,897

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Solution

The third proportional to 113,838 and 244,897 is: 526,841.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,838 : 244,897 = 244,897 : x
  2. Step 2: Convert to fraction form
    113,838/244,897 = 244,897/x
  3. Step 3: Cross multiply
    113,838x = 244,897 × 244,897
  4. Step 4: Simplify right side
    113,838x = 59,974,540,609
  5. Step 5: Solve for x
    x = 59,974,540,609/113,838
  6. Step 6: Final answer
    x = 526,841.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.