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Finding the Third Proportional to 153,883.50 and 232,875

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Solution

The third proportional to 153,883.50 and 232,875 is: 352,414.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,883.50 : 232,875 = 232,875 : x
  2. Step 2: Convert to fraction form
    153,883.50/232,875 = 232,875/x
  3. Step 3: Cross multiply
    153,883.50x = 232,875 × 232,875
  4. Step 4: Simplify right side
    153,883.50x = 54,230,765,625
  5. Step 5: Solve for x
    x = 54,230,765,625/153,883.50
  6. Step 6: Final answer
    x = 352,414.43

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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.