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Finding the Third Proportional to 137,992 and 295,664

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Solution

The third proportional to 137,992 and 295,664 is: 633,494.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,992 : 295,664 = 295,664 : x
  2. Step 2: Convert to fraction form
    137,992/295,664 = 295,664/x
  3. Step 3: Cross multiply
    137,992x = 295,664 × 295,664
  4. Step 4: Simplify right side
    137,992x = 87,417,200,896
  5. Step 5: Solve for x
    x = 87,417,200,896/137,992
  6. Step 6: Final answer
    x = 633,494.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.