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Finding the Third Proportional to 150,807 and 235,110.75

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Solution

The third proportional to 150,807 and 235,110.75 is: 366,541.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,807 : 235,110.75 = 235,110.75 : x
  2. Step 2: Convert to fraction form
    150,807/235,110.75 = 235,110.75/x
  3. Step 3: Cross multiply
    150,807x = 235,110.75 × 235,110.75
  4. Step 4: Simplify right side
    150,807x = 55,277,064,765.56
  5. Step 5: Solve for x
    x = 55,277,064,765.56/150,807
  6. Step 6: Final answer
    x = 366,541.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.