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Finding the Third Proportional to 158,599.50 and 332,767.50

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Solution

The third proportional to 158,599.50 and 332,767.50 is: 698,200.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,599.50 : 332,767.50 = 332,767.50 : x
  2. Step 2: Convert to fraction form
    158,599.50/332,767.50 = 332,767.50/x
  3. Step 3: Cross multiply
    158,599.50x = 332,767.50 × 332,767.50
  4. Step 4: Simplify right side
    158,599.50x = 110,734,209,056.25
  5. Step 5: Solve for x
    x = 110,734,209,056.25/158,599.50
  6. Step 6: Final answer
    x = 698,200.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.