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Finding the Third Proportional to 222,503.63 and 353,764.13

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Solution

The third proportional to 222,503.63 and 353,764.13 is: 562,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,503.63 : 353,764.13 = 353,764.13 : x
  2. Step 2: Convert to fraction form
    222,503.63/353,764.13 = 353,764.13/x
  3. Step 3: Cross multiply
    222,503.63x = 353,764.13 × 353,764.13
  4. Step 4: Simplify right side
    222,503.63x = 125,149,056,137.02
  5. Step 5: Solve for x
    x = 125,149,056,137.02/222,503.63
  6. Step 6: Final answer
    x = 562,458.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.