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Finding the Third Proportional to 149,030 and 324,364

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Solution

The third proportional to 149,030 and 324,364 is: 705,978.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,030 : 324,364 = 324,364 : x
  2. Step 2: Convert to fraction form
    149,030/324,364 = 324,364/x
  3. Step 3: Cross multiply
    149,030x = 324,364 × 324,364
  4. Step 4: Simplify right side
    149,030x = 105,212,004,496
  5. Step 5: Solve for x
    x = 105,212,004,496/149,030
  6. Step 6: Final answer
    x = 705,978.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.