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Finding the Third Proportional to 155,229 and 234,057.75

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Solution

The third proportional to 155,229 and 234,057.75 is: 352,917.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,229 : 234,057.75 = 234,057.75 : x
  2. Step 2: Convert to fraction form
    155,229/234,057.75 = 234,057.75/x
  3. Step 3: Cross multiply
    155,229x = 234,057.75 × 234,057.75
  4. Step 4: Simplify right side
    155,229x = 54,783,030,335.06
  5. Step 5: Solve for x
    x = 54,783,030,335.06/155,229
  6. Step 6: Final answer
    x = 352,917.50

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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.