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Finding the Third Proportional to 234,655.50 and 351,990

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Solution

The third proportional to 234,655.50 and 351,990 is: 527,995.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,655.50 : 351,990 = 351,990 : x
  2. Step 2: Convert to fraction form
    234,655.50/351,990 = 351,990/x
  3. Step 3: Cross multiply
    234,655.50x = 351,990 × 351,990
  4. Step 4: Simplify right side
    234,655.50x = 123,896,960,100
  5. Step 5: Solve for x
    x = 123,896,960,100/234,655.50
  6. Step 6: Final answer
    x = 527,995.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.