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Finding the Third Proportional to 138,301 and 301,736

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Solution

The third proportional to 138,301 and 301,736 is: 658,307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,301 : 301,736 = 301,736 : x
  2. Step 2: Convert to fraction form
    138,301/301,736 = 301,736/x
  3. Step 3: Cross multiply
    138,301x = 301,736 × 301,736
  4. Step 4: Simplify right side
    138,301x = 91,044,613,696
  5. Step 5: Solve for x
    x = 91,044,613,696/138,301
  6. Step 6: Final answer
    x = 658,307.70

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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.