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Finding the Third Proportional to 152,809 and 332,184

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Solution

The third proportional to 152,809 and 332,184 is: 722,118.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,809 : 332,184 = 332,184 : x
  2. Step 2: Convert to fraction form
    152,809/332,184 = 332,184/x
  3. Step 3: Cross multiply
    152,809x = 332,184 × 332,184
  4. Step 4: Simplify right side
    152,809x = 110,346,209,856
  5. Step 5: Solve for x
    x = 110,346,209,856/152,809
  6. Step 6: Final answer
    x = 722,118.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.