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Finding the Third Proportional to 138,536 and 302,992

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Solution

The third proportional to 138,536 and 302,992 is: 662,673.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,536 : 302,992 = 302,992 : x
  2. Step 2: Convert to fraction form
    138,536/302,992 = 302,992/x
  3. Step 3: Cross multiply
    138,536x = 302,992 × 302,992
  4. Step 4: Simplify right side
    138,536x = 91,804,152,064
  5. Step 5: Solve for x
    x = 91,804,152,064/138,536
  6. Step 6: Final answer
    x = 662,673.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.