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Finding the Third Proportional to 127,777.50 and 281,252.25

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Solution

The third proportional to 127,777.50 and 281,252.25 is: 619,066.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,777.50 : 281,252.25 = 281,252.25 : x
  2. Step 2: Convert to fraction form
    127,777.50/281,252.25 = 281,252.25/x
  3. Step 3: Cross multiply
    127,777.50x = 281,252.25 × 281,252.25
  4. Step 4: Simplify right side
    127,777.50x = 79,102,828,130.06
  5. Step 5: Solve for x
    x = 79,102,828,130.06/127,777.50
  6. Step 6: Final answer
    x = 619,066.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.