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Finding the Third Proportional to 149,660 and 232,360.50

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Solution

The third proportional to 149,660 and 232,360.50 is: 360,760.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,660 : 232,360.50 = 232,360.50 : x
  2. Step 2: Convert to fraction form
    149,660/232,360.50 = 232,360.50/x
  3. Step 3: Cross multiply
    149,660x = 232,360.50 × 232,360.50
  4. Step 4: Simplify right side
    149,660x = 53,991,401,960.25
  5. Step 5: Solve for x
    x = 53,991,401,960.25/149,660
  6. Step 6: Final answer
    x = 360,760.40

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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.