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Finding the Third Proportional to 162,227.25 and 349,412.63

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Solution

The third proportional to 162,227.25 and 349,412.63 is: 752,581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,227.25 : 349,412.63 = 349,412.63 : x
  2. Step 2: Convert to fraction form
    162,227.25/349,412.63 = 349,412.63/x
  3. Step 3: Cross multiply
    162,227.25x = 349,412.63 × 349,412.63
  4. Step 4: Simplify right side
    162,227.25x = 122,089,182,509.39
  5. Step 5: Solve for x
    x = 122,089,182,509.39/162,227.25
  6. Step 6: Final answer
    x = 752,581.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.