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Finding the Third Proportional to 301,108.13 and 410,129.25

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Solution

The third proportional to 301,108.13 and 410,129.25 is: 558,623.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,108.13 : 410,129.25 = 410,129.25 : x
  2. Step 2: Convert to fraction form
    301,108.13/410,129.25 = 410,129.25/x
  3. Step 3: Cross multiply
    301,108.13x = 410,129.25 × 410,129.25
  4. Step 4: Simplify right side
    301,108.13x = 168,206,001,705.56
  5. Step 5: Solve for x
    x = 168,206,001,705.56/301,108.13
  6. Step 6: Final answer
    x = 558,623.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.