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Finding the Third Proportional to 152,984 and 331,391

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Solution

The third proportional to 152,984 and 331,391 is: 717,852.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,984 : 331,391 = 331,391 : x
  2. Step 2: Convert to fraction form
    152,984/331,391 = 331,391/x
  3. Step 3: Cross multiply
    152,984x = 331,391 × 331,391
  4. Step 4: Simplify right side
    152,984x = 109,819,994,881
  5. Step 5: Solve for x
    x = 109,819,994,881/152,984
  6. Step 6: Final answer
    x = 717,852.81

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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.