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Finding the Third Proportional to 133,830 and 297,184

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Solution

The third proportional to 133,830 and 297,184 is: 659,929.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,830 : 297,184 = 297,184 : x
  2. Step 2: Convert to fraction form
    133,830/297,184 = 297,184/x
  3. Step 3: Cross multiply
    133,830x = 297,184 × 297,184
  4. Step 4: Simplify right side
    133,830x = 88,318,329,856
  5. Step 5: Solve for x
    x = 88,318,329,856/133,830
  6. Step 6: Final answer
    x = 659,929.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.