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Finding the Third Proportional to 148,695.75 and 230,330.25

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Solution

The third proportional to 148,695.75 and 230,330.25 is: 356,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,695.75 : 230,330.25 = 230,330.25 : x
  2. Step 2: Convert to fraction form
    148,695.75/230,330.25 = 230,330.25/x
  3. Step 3: Cross multiply
    148,695.75x = 230,330.25 × 230,330.25
  4. Step 4: Simplify right side
    148,695.75x = 53,052,024,065.06
  5. Step 5: Solve for x
    x = 53,052,024,065.06/148,695.75
  6. Step 6: Final answer
    x = 356,782.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.