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Finding the Third Proportional to 248,931 and 371,772

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Solution

The third proportional to 248,931 and 371,772 is: 555,231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,931 : 371,772 = 371,772 : x
  2. Step 2: Convert to fraction form
    248,931/371,772 = 371,772/x
  3. Step 3: Cross multiply
    248,931x = 371,772 × 371,772
  4. Step 4: Simplify right side
    248,931x = 138,214,419,984
  5. Step 5: Solve for x
    x = 138,214,419,984/248,931
  6. Step 6: Final answer
    x = 555,231.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.