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Finding the Third Proportional to 187,002 and 255,487.50

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Solution

The third proportional to 187,002 and 255,487.50 is: 349,054.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,002 : 255,487.50 = 255,487.50 : x
  2. Step 2: Convert to fraction form
    187,002/255,487.50 = 255,487.50/x
  3. Step 3: Cross multiply
    187,002x = 255,487.50 × 255,487.50
  4. Step 4: Simplify right side
    187,002x = 65,273,862,656.25
  5. Step 5: Solve for x
    x = 65,273,862,656.25/187,002
  6. Step 6: Final answer
    x = 349,054.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.