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Finding the Third Proportional to 142,274.25 and 214,349.63

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Solution

The third proportional to 142,274.25 and 214,349.63 is: 322,938.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,274.25 : 214,349.63 = 214,349.63 : x
  2. Step 2: Convert to fraction form
    142,274.25/214,349.63 = 214,349.63/x
  3. Step 3: Cross multiply
    142,274.25x = 214,349.63 × 214,349.63
  4. Step 4: Simplify right side
    142,274.25x = 45,945,761,737.64
  5. Step 5: Solve for x
    x = 45,945,761,737.64/142,274.25
  6. Step 6: Final answer
    x = 322,938.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.