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Finding the Third Proportional to 195,484 and 297,114

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Solution

The third proportional to 195,484 and 297,114 is: 451,580.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,484 : 297,114 = 297,114 : x
  2. Step 2: Convert to fraction form
    195,484/297,114 = 297,114/x
  3. Step 3: Cross multiply
    195,484x = 297,114 × 297,114
  4. Step 4: Simplify right side
    195,484x = 88,276,728,996
  5. Step 5: Solve for x
    x = 88,276,728,996/195,484
  6. Step 6: Final answer
    x = 451,580.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.