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Finding the Third Proportional to 151,822.50 and 324,663.75

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Solution

The third proportional to 151,822.50 and 324,663.75 is: 694,274.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,822.50 : 324,663.75 = 324,663.75 : x
  2. Step 2: Convert to fraction form
    151,822.50/324,663.75 = 324,663.75/x
  3. Step 3: Cross multiply
    151,822.50x = 324,663.75 × 324,663.75
  4. Step 4: Simplify right side
    151,822.50x = 105,406,550,564.06
  5. Step 5: Solve for x
    x = 105,406,550,564.06/151,822.50
  6. Step 6: Final answer
    x = 694,274.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.