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Finding the Third Proportional to 149,924 and 322,082

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Solution

The third proportional to 149,924 and 322,082 is: 691,929.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,924 : 322,082 = 322,082 : x
  2. Step 2: Convert to fraction form
    149,924/322,082 = 322,082/x
  3. Step 3: Cross multiply
    149,924x = 322,082 × 322,082
  4. Step 4: Simplify right side
    149,924x = 103,736,814,724
  5. Step 5: Solve for x
    x = 103,736,814,724/149,924
  6. Step 6: Final answer
    x = 691,929.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.