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Finding the Third Proportional to 222,457.50 and 344,745

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Solution

The third proportional to 222,457.50 and 344,745 is: 534,255.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,457.50 : 344,745 = 344,745 : x
  2. Step 2: Convert to fraction form
    222,457.50/344,745 = 344,745/x
  3. Step 3: Cross multiply
    222,457.50x = 344,745 × 344,745
  4. Step 4: Simplify right side
    222,457.50x = 118,849,115,025
  5. Step 5: Solve for x
    x = 118,849,115,025/222,457.50
  6. Step 6: Final answer
    x = 534,255.37

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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.