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Finding the Third Proportional to 139,454 and 287,164

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Solution

The third proportional to 139,454 and 287,164 is: 591,328.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,454 : 287,164 = 287,164 : x
  2. Step 2: Convert to fraction form
    139,454/287,164 = 287,164/x
  3. Step 3: Cross multiply
    139,454x = 287,164 × 287,164
  4. Step 4: Simplify right side
    139,454x = 82,463,162,896
  5. Step 5: Solve for x
    x = 82,463,162,896/139,454
  6. Step 6: Final answer
    x = 591,328.77

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.