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Finding the Third Proportional to 175,048 and 257,003

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Solution

The third proportional to 175,048 and 257,003 is: 377,328.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,048 : 257,003 = 257,003 : x
  2. Step 2: Convert to fraction form
    175,048/257,003 = 257,003/x
  3. Step 3: Cross multiply
    175,048x = 257,003 × 257,003
  4. Step 4: Simplify right side
    175,048x = 66,050,542,009
  5. Step 5: Solve for x
    x = 66,050,542,009/175,048
  6. Step 6: Final answer
    x = 377,328.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.