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Finding the Third Proportional to 85,392.75 and 182,608.88

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Solution

The third proportional to 85,392.75 and 182,608.88 is: 390,501.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,392.75 : 182,608.88 = 182,608.88 : x
  2. Step 2: Convert to fraction form
    85,392.75/182,608.88 = 182,608.88/x
  3. Step 3: Cross multiply
    85,392.75x = 182,608.88 × 182,608.88
  4. Step 4: Simplify right side
    85,392.75x = 33,346,001,228.77
  5. Step 5: Solve for x
    x = 33,346,001,228.77/85,392.75
  6. Step 6: Final answer
    x = 390,501.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.