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Finding the Third Proportional to 136,026 and 294,648

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Solution

The third proportional to 136,026 and 294,648 is: 638,241.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,026 : 294,648 = 294,648 : x
  2. Step 2: Convert to fraction form
    136,026/294,648 = 294,648/x
  3. Step 3: Cross multiply
    136,026x = 294,648 × 294,648
  4. Step 4: Simplify right side
    136,026x = 86,817,443,904
  5. Step 5: Solve for x
    x = 86,817,443,904/136,026
  6. Step 6: Final answer
    x = 638,241.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.