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Finding the Third Proportional to 135,053 and 296,026

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Solution

The third proportional to 135,053 and 296,026 is: 648,866.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,053 : 296,026 = 296,026 : x
  2. Step 2: Convert to fraction form
    135,053/296,026 = 296,026/x
  3. Step 3: Cross multiply
    135,053x = 296,026 × 296,026
  4. Step 4: Simplify right side
    135,053x = 87,631,392,676
  5. Step 5: Solve for x
    x = 87,631,392,676/135,053
  6. Step 6: Final answer
    x = 648,866.69

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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.