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Finding the Third Proportional to 132,024 and 290,184

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Solution

The third proportional to 132,024 and 290,184 is: 637,813.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,024 : 290,184 = 290,184 : x
  2. Step 2: Convert to fraction form
    132,024/290,184 = 290,184/x
  3. Step 3: Cross multiply
    132,024x = 290,184 × 290,184
  4. Step 4: Simplify right side
    132,024x = 84,206,753,856
  5. Step 5: Solve for x
    x = 84,206,753,856/132,024
  6. Step 6: Final answer
    x = 637,813.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.