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Finding the Third Proportional to 153,236.25 and 324,902.25

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Solution

The third proportional to 153,236.25 and 324,902.25 is: 688,880.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,236.25 : 324,902.25 = 324,902.25 : x
  2. Step 2: Convert to fraction form
    153,236.25/324,902.25 = 324,902.25/x
  3. Step 3: Cross multiply
    153,236.25x = 324,902.25 × 324,902.25
  4. Step 4: Simplify right side
    153,236.25x = 105,561,472,055.06
  5. Step 5: Solve for x
    x = 105,561,472,055.06/153,236.25
  6. Step 6: Final answer
    x = 688,880.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.