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Finding the Third Proportional to 149,590.63 and 324,104.13

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Solution

The third proportional to 149,590.63 and 324,104.13 is: 702,206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,590.63 : 324,104.13 = 324,104.13 : x
  2. Step 2: Convert to fraction form
    149,590.63/324,104.13 = 324,104.13/x
  3. Step 3: Cross multiply
    149,590.63x = 324,104.13 × 324,104.13
  4. Step 4: Simplify right side
    149,590.63x = 105,043,483,842.02
  5. Step 5: Solve for x
    x = 105,043,483,842.02/149,590.63
  6. Step 6: Final answer
    x = 702,206.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.