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Finding the Third Proportional to 149,175 and 324,585

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Solution

The third proportional to 149,175 and 324,585 is: 706,253.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,175 : 324,585 = 324,585 : x
  2. Step 2: Convert to fraction form
    149,175/324,585 = 324,585/x
  3. Step 3: Cross multiply
    149,175x = 324,585 × 324,585
  4. Step 4: Simplify right side
    149,175x = 105,355,422,225
  5. Step 5: Solve for x
    x = 105,355,422,225/149,175
  6. Step 6: Final answer
    x = 706,253.88

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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.