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Finding the Third Proportional to 137,655.50 and 304,790

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Solution

The third proportional to 137,655.50 and 304,790 is: 674,850.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,655.50 : 304,790 = 304,790 : x
  2. Step 2: Convert to fraction form
    137,655.50/304,790 = 304,790/x
  3. Step 3: Cross multiply
    137,655.50x = 304,790 × 304,790
  4. Step 4: Simplify right side
    137,655.50x = 92,896,944,100
  5. Step 5: Solve for x
    x = 92,896,944,100/137,655.50
  6. Step 6: Final answer
    x = 674,850.94

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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.