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Finding the Third Proportional to 128,261.50 and 281,149.63

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Solution

The third proportional to 128,261.50 and 281,149.63 is: 616,280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,261.50 : 281,149.63 = 281,149.63 : x
  2. Step 2: Convert to fraction form
    128,261.50/281,149.63 = 281,149.63/x
  3. Step 3: Cross multiply
    128,261.50x = 281,149.63 × 281,149.63
  4. Step 4: Simplify right side
    128,261.50x = 79,045,111,637.64
  5. Step 5: Solve for x
    x = 79,045,111,637.64/128,261.50
  6. Step 6: Final answer
    x = 616,280.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.