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Finding the Third Proportional to 175,455.28 and 265,659.75

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Solution

The third proportional to 175,455.28 and 265,659.75 is: 402,239.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,455.28 : 265,659.75 = 265,659.75 : x
  2. Step 2: Convert to fraction form
    175,455.28/265,659.75 = 265,659.75/x
  3. Step 3: Cross multiply
    175,455.28x = 265,659.75 × 265,659.75
  4. Step 4: Simplify right side
    175,455.28x = 70,575,102,770.06
  5. Step 5: Solve for x
    x = 70,575,102,770.06/175,455.28
  6. Step 6: Final answer
    x = 402,239.83

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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.