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Finding the Third Proportional to 138,026 and 302,044

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Solution

The third proportional to 138,026 and 302,044 is: 660,966.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,026 : 302,044 = 302,044 : x
  2. Step 2: Convert to fraction form
    138,026/302,044 = 302,044/x
  3. Step 3: Cross multiply
    138,026x = 302,044 × 302,044
  4. Step 4: Simplify right side
    138,026x = 91,230,577,936
  5. Step 5: Solve for x
    x = 91,230,577,936/138,026
  6. Step 6: Final answer
    x = 660,966.61

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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.