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Finding the Third Proportional to 135,254 and 296,024

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Solution

The third proportional to 135,254 and 296,024 is: 647,893.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,254 : 296,024 = 296,024 : x
  2. Step 2: Convert to fraction form
    135,254/296,024 = 296,024/x
  3. Step 3: Cross multiply
    135,254x = 296,024 × 296,024
  4. Step 4: Simplify right side
    135,254x = 87,630,208,576
  5. Step 5: Solve for x
    x = 87,630,208,576/135,254
  6. Step 6: Final answer
    x = 647,893.66

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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.