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Finding the Third Proportional to 138,532 and 302,012

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Solution

The third proportional to 138,532 and 302,012 is: 658,412.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,532 : 302,012 = 302,012 : x
  2. Step 2: Convert to fraction form
    138,532/302,012 = 302,012/x
  3. Step 3: Cross multiply
    138,532x = 302,012 × 302,012
  4. Step 4: Simplify right side
    138,532x = 91,211,248,144
  5. Step 5: Solve for x
    x = 91,211,248,144/138,532
  6. Step 6: Final answer
    x = 658,412.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.