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Finding the Third Proportional to 330,159 and 472,234.50

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Solution

The third proportional to 330,159 and 472,234.50 is: 675,448.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,159 : 472,234.50 = 472,234.50 : x
  2. Step 2: Convert to fraction form
    330,159/472,234.50 = 472,234.50/x
  3. Step 3: Cross multiply
    330,159x = 472,234.50 × 472,234.50
  4. Step 4: Simplify right side
    330,159x = 223,005,422,990.25
  5. Step 5: Solve for x
    x = 223,005,422,990.25/330,159
  6. Step 6: Final answer
    x = 675,448.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.