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Finding the Third Proportional to 78,048.56 and 170,236.69

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Solution

The third proportional to 78,048.56 and 170,236.69 is: 371,314.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,048.56 : 170,236.69 = 170,236.69 : x
  2. Step 2: Convert to fraction form
    78,048.56/170,236.69 = 170,236.69/x
  3. Step 3: Cross multiply
    78,048.56x = 170,236.69 × 170,236.69
  4. Step 4: Simplify right side
    78,048.56x = 28,980,529,770.97
  5. Step 5: Solve for x
    x = 28,980,529,770.97/78,048.56
  6. Step 6: Final answer
    x = 371,314.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.