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Finding the Third Proportional to 152,392.50 and 241,505.75

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Solution

The third proportional to 152,392.50 and 241,505.75 is: 382,728.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,392.50 : 241,505.75 = 241,505.75 : x
  2. Step 2: Convert to fraction form
    152,392.50/241,505.75 = 241,505.75/x
  3. Step 3: Cross multiply
    152,392.50x = 241,505.75 × 241,505.75
  4. Step 4: Simplify right side
    152,392.50x = 58,325,027,283.06
  5. Step 5: Solve for x
    x = 58,325,027,283.06/152,392.50
  6. Step 6: Final answer
    x = 382,728.99

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.