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Finding the Third Proportional to 153,822.75 and 232,859.25

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Solution

The third proportional to 153,822.75 and 232,859.25 is: 352,505.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,822.75 : 232,859.25 = 232,859.25 : x
  2. Step 2: Convert to fraction form
    153,822.75/232,859.25 = 232,859.25/x
  3. Step 3: Cross multiply
    153,822.75x = 232,859.25 × 232,859.25
  4. Step 4: Simplify right side
    153,822.75x = 54,223,430,310.56
  5. Step 5: Solve for x
    x = 54,223,430,310.56/153,822.75
  6. Step 6: Final answer
    x = 352,505.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.