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Finding the Third Proportional to 163,172 and 219,590

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Solution

The third proportional to 163,172 and 219,590 is: 295,514.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,172 : 219,590 = 219,590 : x
  2. Step 2: Convert to fraction form
    163,172/219,590 = 219,590/x
  3. Step 3: Cross multiply
    163,172x = 219,590 × 219,590
  4. Step 4: Simplify right side
    163,172x = 48,219,768,100
  5. Step 5: Solve for x
    x = 48,219,768,100/163,172
  6. Step 6: Final answer
    x = 295,514.97

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.