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Finding the Third Proportional to 180,022.50 and 241,560

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Solution

The third proportional to 180,022.50 and 241,560 is: 324,133.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,022.50 : 241,560 = 241,560 : x
  2. Step 2: Convert to fraction form
    180,022.50/241,560 = 241,560/x
  3. Step 3: Cross multiply
    180,022.50x = 241,560 × 241,560
  4. Step 4: Simplify right side
    180,022.50x = 58,351,233,600
  5. Step 5: Solve for x
    x = 58,351,233,600/180,022.50
  6. Step 6: Final answer
    x = 324,133.00

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.