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Finding the Third Proportional to 149,344.50 and 322,461

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Solution

The third proportional to 149,344.50 and 322,461 is: 696,249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,344.50 : 322,461 = 322,461 : x
  2. Step 2: Convert to fraction form
    149,344.50/322,461 = 322,461/x
  3. Step 3: Cross multiply
    149,344.50x = 322,461 × 322,461
  4. Step 4: Simplify right side
    149,344.50x = 103,981,096,521
  5. Step 5: Solve for x
    x = 103,981,096,521/149,344.50
  6. Step 6: Final answer
    x = 696,249.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.