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Finding the Third Proportional to 149,018 and 319,344

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Solution

The third proportional to 149,018 and 319,344 is: 684,350.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,018 : 319,344 = 319,344 : x
  2. Step 2: Convert to fraction form
    149,018/319,344 = 319,344/x
  3. Step 3: Cross multiply
    149,018x = 319,344 × 319,344
  4. Step 4: Simplify right side
    149,018x = 101,980,590,336
  5. Step 5: Solve for x
    x = 101,980,590,336/149,018
  6. Step 6: Final answer
    x = 684,350.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.