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Finding the Third Proportional to 134,186 and 287,164

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Solution

The third proportional to 134,186 and 287,164 is: 614,543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,186 : 287,164 = 287,164 : x
  2. Step 2: Convert to fraction form
    134,186/287,164 = 287,164/x
  3. Step 3: Cross multiply
    134,186x = 287,164 × 287,164
  4. Step 4: Simplify right side
    134,186x = 82,463,162,896
  5. Step 5: Solve for x
    x = 82,463,162,896/134,186
  6. Step 6: Final answer
    x = 614,543.71

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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.