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Finding the Third Proportional to 153,232.25 and 324,894.25

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Solution

The third proportional to 153,232.25 and 324,894.25 is: 688,864.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,232.25 : 324,894.25 = 324,894.25 : x
  2. Step 2: Convert to fraction form
    153,232.25/324,894.25 = 324,894.25/x
  3. Step 3: Cross multiply
    153,232.25x = 324,894.25 × 324,894.25
  4. Step 4: Simplify right side
    153,232.25x = 105,556,273,683.06
  5. Step 5: Solve for x
    x = 105,556,273,683.06/153,232.25
  6. Step 6: Final answer
    x = 688,864.61

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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.