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Finding the Third Proportional to 226,648.13 and 353,769.19

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Solution

The third proportional to 226,648.13 and 353,769.19 is: 552,189.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,648.13 : 353,769.19 = 353,769.19 : x
  2. Step 2: Convert to fraction form
    226,648.13/353,769.19 = 353,769.19/x
  3. Step 3: Cross multiply
    226,648.13x = 353,769.19 × 353,769.19
  4. Step 4: Simplify right side
    226,648.13x = 125,152,638,024.41
  5. Step 5: Solve for x
    x = 125,152,638,024.41/226,648.13
  6. Step 6: Final answer
    x = 552,189.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.