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Finding the Third Proportional to 129,503.25 and 305,276.63

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Solution

The third proportional to 129,503.25 and 305,276.63 is: 719,625.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,503.25 : 305,276.63 = 305,276.63 : x
  2. Step 2: Convert to fraction form
    129,503.25/305,276.63 = 305,276.63/x
  3. Step 3: Cross multiply
    129,503.25x = 305,276.63 × 305,276.63
  4. Step 4: Simplify right side
    129,503.25x = 93,193,817,771.39
  5. Step 5: Solve for x
    x = 93,193,817,771.39/129,503.25
  6. Step 6: Final answer
    x = 719,625.32

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.