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Finding the Third Proportional to 222,428.53 and 344,703.09

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Solution

The third proportional to 222,428.53 and 344,703.09 is: 534,195.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,428.53 : 344,703.09 = 344,703.09 : x
  2. Step 2: Convert to fraction form
    222,428.53/344,703.09 = 344,703.09/x
  3. Step 3: Cross multiply
    222,428.53x = 344,703.09 × 344,703.09
  4. Step 4: Simplify right side
    222,428.53x = 118,820,222,840.82
  5. Step 5: Solve for x
    x = 118,820,222,840.82/222,428.53
  6. Step 6: Final answer
    x = 534,195.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.