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Finding the Third Proportional to 149,088 and 324,424

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Solution

The third proportional to 149,088 and 324,424 is: 705,965.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,088 : 324,424 = 324,424 : x
  2. Step 2: Convert to fraction form
    149,088/324,424 = 324,424/x
  3. Step 3: Cross multiply
    149,088x = 324,424 × 324,424
  4. Step 4: Simplify right side
    149,088x = 105,250,931,776
  5. Step 5: Solve for x
    x = 105,250,931,776/149,088
  6. Step 6: Final answer
    x = 705,965.15

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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.