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Finding the Third Proportional to 239,482.88 and 399,122.06

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Solution

The third proportional to 239,482.88 and 399,122.06 is: 665,176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,482.88 : 399,122.06 = 399,122.06 : x
  2. Step 2: Convert to fraction form
    239,482.88/399,122.06 = 399,122.06/x
  3. Step 3: Cross multiply
    239,482.88x = 399,122.06 × 399,122.06
  4. Step 4: Simplify right side
    239,482.88x = 159,298,420,774.25
  5. Step 5: Solve for x
    x = 159,298,420,774.25/239,482.88
  6. Step 6: Final answer
    x = 665,176.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.