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Finding the Third Proportional to 152,972 and 331,362

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Solution

The third proportional to 152,972 and 331,362 is: 717,783.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,972 : 331,362 = 331,362 : x
  2. Step 2: Convert to fraction form
    152,972/331,362 = 331,362/x
  3. Step 3: Cross multiply
    152,972x = 331,362 × 331,362
  4. Step 4: Simplify right side
    152,972x = 109,800,775,044
  5. Step 5: Solve for x
    x = 109,800,775,044/152,972
  6. Step 6: Final answer
    x = 717,783.48

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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.