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Finding the Third Proportional to 137,649 and 304,777.50

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Solution

The third proportional to 137,649 and 304,777.50 is: 674,827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,649 : 304,777.50 = 304,777.50 : x
  2. Step 2: Convert to fraction form
    137,649/304,777.50 = 304,777.50/x
  3. Step 3: Cross multiply
    137,649x = 304,777.50 × 304,777.50
  4. Step 4: Simplify right side
    137,649x = 92,889,324,506.25
  5. Step 5: Solve for x
    x = 92,889,324,506.25/137,649
  6. Step 6: Final answer
    x = 674,827.46

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.