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Finding the Third Proportional to 187,536 and 402,168

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Solution

The third proportional to 187,536 and 402,168 is: 862,442.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,536 : 402,168 = 402,168 : x
  2. Step 2: Convert to fraction form
    187,536/402,168 = 402,168/x
  3. Step 3: Cross multiply
    187,536x = 402,168 × 402,168
  4. Step 4: Simplify right side
    187,536x = 161,739,100,224
  5. Step 5: Solve for x
    x = 161,739,100,224/187,536
  6. Step 6: Final answer
    x = 862,442.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.