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Finding the Third Proportional to 234,841.50 and 513,990

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Solution

The third proportional to 234,841.50 and 513,990 is: 1,124,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,841.50 : 513,990 = 513,990 : x
  2. Step 2: Convert to fraction form
    234,841.50/513,990 = 513,990/x
  3. Step 3: Cross multiply
    234,841.50x = 513,990 × 513,990
  4. Step 4: Simplify right side
    234,841.50x = 264,185,720,100
  5. Step 5: Solve for x
    x = 264,185,720,100/234,841.50
  6. Step 6: Final answer
    x = 1,124,953.30

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Why These Related Problems?

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