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Finding the Third Proportional to 144,417 and 316,734

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Solution

The third proportional to 144,417 and 316,734 is: 694,658.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,417 : 316,734 = 316,734 : x
  2. Step 2: Convert to fraction form
    144,417/316,734 = 316,734/x
  3. Step 3: Cross multiply
    144,417x = 316,734 × 316,734
  4. Step 4: Simplify right side
    144,417x = 100,320,426,756
  5. Step 5: Solve for x
    x = 100,320,426,756/144,417
  6. Step 6: Final answer
    x = 694,658.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.