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Finding the Third Proportional to 144,414 and 312,880

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Solution

The third proportional to 144,414 and 312,880 is: 677,869.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,414 : 312,880 = 312,880 : x
  2. Step 2: Convert to fraction form
    144,414/312,880 = 312,880/x
  3. Step 3: Cross multiply
    144,414x = 312,880 × 312,880
  4. Step 4: Simplify right side
    144,414x = 97,893,894,400
  5. Step 5: Solve for x
    x = 97,893,894,400/144,414
  6. Step 6: Final answer
    x = 677,869.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.