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Finding the Third Proportional to 241,853 and 562,166

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Solution

The third proportional to 241,853 and 562,166 is: 1,306,705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,853 : 562,166 = 562,166 : x
  2. Step 2: Convert to fraction form
    241,853/562,166 = 562,166/x
  3. Step 3: Cross multiply
    241,853x = 562,166 × 562,166
  4. Step 4: Simplify right side
    241,853x = 316,030,611,556
  5. Step 5: Solve for x
    x = 316,030,611,556/241,853
  6. Step 6: Final answer
    x = 1,306,705.36

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.