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Finding the Third Proportional to 144,038 and 313,900

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Solution

The third proportional to 144,038 and 313,900 is: 684,077.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,038 : 313,900 = 313,900 : x
  2. Step 2: Convert to fraction form
    144,038/313,900 = 313,900/x
  3. Step 3: Cross multiply
    144,038x = 313,900 × 313,900
  4. Step 4: Simplify right side
    144,038x = 98,533,210,000
  5. Step 5: Solve for x
    x = 98,533,210,000/144,038
  6. Step 6: Final answer
    x = 684,077.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.