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Finding the Third Proportional to 149,817 and 320,957

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Solution

The third proportional to 149,817 and 320,957 is: 687,594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,817 : 320,957 = 320,957 : x
  2. Step 2: Convert to fraction form
    149,817/320,957 = 320,957/x
  3. Step 3: Cross multiply
    149,817x = 320,957 × 320,957
  4. Step 4: Simplify right side
    149,817x = 103,013,395,849
  5. Step 5: Solve for x
    x = 103,013,395,849/149,817
  6. Step 6: Final answer
    x = 687,594.84

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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.