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Finding the Third Proportional to 251,137 and 592,721.25

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Solution

The third proportional to 251,137 and 592,721.25 is: 1,398,911.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,137 : 592,721.25 = 592,721.25 : x
  2. Step 2: Convert to fraction form
    251,137/592,721.25 = 592,721.25/x
  3. Step 3: Cross multiply
    251,137x = 592,721.25 × 592,721.25
  4. Step 4: Simplify right side
    251,137x = 351,318,480,201.56
  5. Step 5: Solve for x
    x = 351,318,480,201.56/251,137
  6. Step 6: Final answer
    x = 1,398,911.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.