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Finding the Third Proportional to 138,534 and 302,988

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Solution

The third proportional to 138,534 and 302,988 is: 662,665.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,534 : 302,988 = 302,988 : x
  2. Step 2: Convert to fraction form
    138,534/302,988 = 302,988/x
  3. Step 3: Cross multiply
    138,534x = 302,988 × 302,988
  4. Step 4: Simplify right side
    138,534x = 91,801,728,144
  5. Step 5: Solve for x
    x = 91,801,728,144/138,534
  6. Step 6: Final answer
    x = 662,665.69

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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.