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Finding the Third Proportional to 163,617 and 223,897

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Solution

The third proportional to 163,617 and 223,897 is: 306,385.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,617 : 223,897 = 223,897 : x
  2. Step 2: Convert to fraction form
    163,617/223,897 = 223,897/x
  3. Step 3: Cross multiply
    163,617x = 223,897 × 223,897
  4. Step 4: Simplify right side
    163,617x = 50,129,866,609
  5. Step 5: Solve for x
    x = 50,129,866,609/163,617
  6. Step 6: Final answer
    x = 306,385.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.