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Finding the Third Proportional to 193,909 and 297,951

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Solution

The third proportional to 193,909 and 297,951 is: 457,816.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,909 : 297,951 = 297,951 : x
  2. Step 2: Convert to fraction form
    193,909/297,951 = 297,951/x
  3. Step 3: Cross multiply
    193,909x = 297,951 × 297,951
  4. Step 4: Simplify right side
    193,909x = 88,774,798,401
  5. Step 5: Solve for x
    x = 88,774,798,401/193,909
  6. Step 6: Final answer
    x = 457,816.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.