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Finding the Third Proportional to 153,182 and 330,961

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Solution

The third proportional to 153,182 and 330,961 is: 715,065.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,182 : 330,961 = 330,961 : x
  2. Step 2: Convert to fraction form
    153,182/330,961 = 330,961/x
  3. Step 3: Cross multiply
    153,182x = 330,961 × 330,961
  4. Step 4: Simplify right side
    153,182x = 109,535,183,521
  5. Step 5: Solve for x
    x = 109,535,183,521/153,182
  6. Step 6: Final answer
    x = 715,065.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.