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Finding the Third Proportional to 139,420 and 299,078

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Solution

The third proportional to 139,420 and 299,078 is: 641,569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,420 : 299,078 = 299,078 : x
  2. Step 2: Convert to fraction form
    139,420/299,078 = 299,078/x
  3. Step 3: Cross multiply
    139,420x = 299,078 × 299,078
  4. Step 4: Simplify right side
    139,420x = 89,447,650,084
  5. Step 5: Solve for x
    x = 89,447,650,084/139,420
  6. Step 6: Final answer
    x = 641,569.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.