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Finding the Third Proportional to 119,897 and 262,636

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Solution

The third proportional to 119,897 and 262,636 is: 575,307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,897 : 262,636 = 262,636 : x
  2. Step 2: Convert to fraction form
    119,897/262,636 = 262,636/x
  3. Step 3: Cross multiply
    119,897x = 262,636 × 262,636
  4. Step 4: Simplify right side
    119,897x = 68,977,668,496
  5. Step 5: Solve for x
    x = 68,977,668,496/119,897
  6. Step 6: Final answer
    x = 575,307.71

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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.