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Finding the Third Proportional to 195,604 and 289,853

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Solution

The third proportional to 195,604 and 289,853 is: 429,514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,604 : 289,853 = 289,853 : x
  2. Step 2: Convert to fraction form
    195,604/289,853 = 289,853/x
  3. Step 3: Cross multiply
    195,604x = 289,853 × 289,853
  4. Step 4: Simplify right side
    195,604x = 84,014,761,609
  5. Step 5: Solve for x
    x = 84,014,761,609/195,604
  6. Step 6: Final answer
    x = 429,514.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.