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Finding the Third Proportional to 225,058.50 and 318,444.75

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Solution

The third proportional to 225,058.50 and 318,444.75 is: 450,580.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,058.50 : 318,444.75 = 318,444.75 : x
  2. Step 2: Convert to fraction form
    225,058.50/318,444.75 = 318,444.75/x
  3. Step 3: Cross multiply
    225,058.50x = 318,444.75 × 318,444.75
  4. Step 4: Simplify right side
    225,058.50x = 101,407,058,802.56
  5. Step 5: Solve for x
    x = 101,407,058,802.56/225,058.50
  6. Step 6: Final answer
    x = 450,580.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.