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Finding the Third Proportional to 196,752 and 297,468

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Solution

The third proportional to 196,752 and 297,468 is: 449,739.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,752 : 297,468 = 297,468 : x
  2. Step 2: Convert to fraction form
    196,752/297,468 = 297,468/x
  3. Step 3: Cross multiply
    196,752x = 297,468 × 297,468
  4. Step 4: Simplify right side
    196,752x = 88,487,211,024
  5. Step 5: Solve for x
    x = 88,487,211,024/196,752
  6. Step 6: Final answer
    x = 449,739.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.