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Finding the Third Proportional to 187,530 and 250,509

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Solution

The third proportional to 187,530 and 250,509 is: 334,638.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,530 : 250,509 = 250,509 : x
  2. Step 2: Convert to fraction form
    187,530/250,509 = 250,509/x
  3. Step 3: Cross multiply
    187,530x = 250,509 × 250,509
  4. Step 4: Simplify right side
    187,530x = 62,754,759,081
  5. Step 5: Solve for x
    x = 62,754,759,081/187,530
  6. Step 6: Final answer
    x = 334,638.51

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.